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As I understand, your task is to solve this inequality
-7x + 14 > -3x - 6
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| The steps are: |
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(1) add 7x to both sides. You will get an EQUIVALENT inequality after combining like terms
14 > 4x - 6.
(2) add 6 to both sides. You will get an EQUIVALENT inequality after combining like terms
20 > 4x
(3) Divide by 4 both sides. You will get an EQUIVALENT inequality
20/4 > x, or, which is the same x < 5.
It is your ANSWER: x < 5.
The solution is completed.
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If you want to learn on how to solve such inequalities, look into the lesson
- Solving simple and simplest linear inequalities
in this site.
Consider this lesson as your textbook, handbook, tutorials and (free of charge) home teacher.
Read it attentively and learn how to solve this type of problems once and for all.