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Example result
Study guide: solving linear equations, for students aged 13–14
The one rule
An equation is a balance. Whatever you do to one side, you do to the other, and the balance stays level. The goal is to get x alone on one side.
Worked example 3: the unknown on both sides
Solve 5x − 4 = 2x + 11.
- Move the x terms to one side: take 2x from both sides. 5x − 2x − 4 = 11, so 3x − 4 = 11.
- Move the numbers to the other side: add 4 to both sides. 3x = 15.
- Divide both sides by 3. x = 5.
- Check: 5 × 5 − 4 = 21 and 2 × 5 + 11 = 21. Both sides match.
Common mistake
In 3(x + 2) = 18, many students write 3x + 2 = 18. The 3 multiplies everything in the brackets: 3x + 6 = 18, so x = 4.
Exercises 7–10
- 4x + 3 = x + 18
- 2(x − 5) = 14
- 7 − x = 3x − 9
- 3(2x + 1) = 4x + 15
Answers: 7. x = 5 · 8. x = 12 · 9. x = 4 · 10. x = 6
Files: PDF and Word. The guide is for learning: we do not do homework or tests to be handed in.
Client: a parent whose daughter gets lost when an equation has brackets or the unknown on both sides. Task: a guide at middle school level that starts from the basics and builds up to those two cases. Standard package: up to 8 pages, 6 worked examples, 20 exercises with answers and a summary sheet. Excerpt below.
The client and all details are made up.
About this service
Philosophy texts can be hard going: long sentences, special terms and arguments that seem to circle. This guide takes one thinker, question or argument at your level, such as Plato's cave, Descartes' cogito, utilitarianism against Kant, or free will, and explains it plainly: the question asked, the position taken, the steps of the argument and the main objections. Worked examples break an argument into premises and a conclusion and test whether it holds, and exercises with answers practise the same skills. Tell us the topic, the course, the texts you read and what is confusing. You get PDF and Word files; Premium adds a test and an answer key. Views are set out fairly, and the guide doesn't tell the learner what to believe. It is for learning: we don't write essays or tests to be handed in.
What is included
- What you getA PDF and Word guide on one thinker, question or argument: the problem, the positions, arguments broken into steps, key terms, the main objections and exercises with answers. From Standard, also a one-page sheet of positions, terms and objections; in Premium, a self-check test of 20 questions and a separate answer key with short explanations.
- The question firstWhat problem the thinker is trying to solve
- Arguments step by stepPremises, conclusion and where the weak spots are
- Positions side by sideRival views compared in a simple table
- Key termsWords like a priori or virtue explained in plain language
- Exercises with answersSpot the premise, test the argument, explain the objection
How it works
- 1TopicYou name the thinker or question, the course and what is confusing
- 2WritingWe unpack the arguments, compare views and write the exercises
- 3DeliveryYou get the guide in PDF and Word on the order page
- 4StudyYou think it through and ask for changes within your package
What we need from you
The thinker, question or argument (for example, Hume on causation, the trolley problem or existentialism), the level (high school, an intro college course or a self-learner), the curriculum and the set texts or translations, what the learner already knows and finds confusing, the language and how the guide will be used. You may attach a syllabus, a reading list or a short extract as Word or PDF files, up to 3. Please don't send essay questions or exam papers to be answered.
We will ask you:
- Which thinker, question or argument?
- For what level?
- Which texts do you read?
- What is confusing, and the language?
Compare packages
| Packages | BasicOne question, up to 4 pages$9 | StandardUp to 8 pages with a summary$18 | PremiumUp to 15 pages with a test$35 |
|---|---|---|---|
| Deadline | 1 day | 2 days | 3 days |
| Revisions | 1 | 2 | 3 |
| Pages | up to 4 | up to 8 | up to 15 |
| Worked examples | 3 | 6 | 10 |
| Exercises with answers | 10 | 20 | 35 |
| Summary sheet | No | Yes | Yes |
| Test and answer key | No | No | Yes, 20 questions |
| Subject | Philosophy | Philosophy | Philosophy |
| Order Basic | Order Standard | Order Premium |
Payment protection
You pay when you order, but the money is released only for accepted work.
- Fixed priceThe package price does not change after you pay.
- The money is reservedWhen you pay, the amount is only reserved. It is released to the service once you accept the work.
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- Free revisionsAsk for changes within your brief as many times as the package allows.
- Acceptance after 3 daysIf within 3 days of delivery you neither accept the work nor ask for changes, it is accepted automatically. If you write in the order chat after delivery, the order waits; once we answer, we may start the 3 days again and will say so in the chat.
- Redo or a full refundIf the result does not match your brief and the revisions did not fix it, or the work takes more than twice its deadline, write in the order chat: we will redo the work or refund the payment in full.
Questions and answers
Will the guide tell me which philosopher is right?
No. It sets out each position and its strongest objections fairly, so the learner can think it through and form their own view.
Will you write my philosophy essay?
No. We don't write essays, homework or tests to be handed in as the learner's own work. The guide shows how to lay out and test an argument, so the learner writes their own.
Can it follow the translation I'm reading?
Yes. Name the translation or attach the extract; terms differ between translations, and we use the ones you read.
Will it match my course?
We follow the course and texts you name, but courses read thinkers differently, so the learner or a teacher should check the guide against the course.
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