Who is asking: Student
Level: Secondary

Hi, could you help me with these questions:

Find x & solve
  • 7-2x/3=9
  • 4x+3/5=-2
  • 6-2x=14
  • -1/7x=-4/3+1/6
I have loads of these to do, please explain how to do them.

Thanks for your help!
Maria

Hi Maria,

I will do the first problem and this should help get you started. I think that it helps to think of an equation as a balance. Here you have 7 - 2x/3 on one side of the balance and 9 on the other. The goal is to perform steps that maintain the balance and result with x on one side and some number on the other. That is you want x = ???

With this equation I would first multiply both sides by 3 since that will maintain the balance and eliminate the fraction.

7 - 2x/3 = 9
3(7 - 2x/3) = 3(9)
3(7) - 3(2x/3) = 27
21 - 2x = 27

Your goal is to have only x on the left of the equal sign so subtract 21 from both sides, that is

21 - 2x = 27
21 - 2x - 21 = 27 - 21
-2x = 6

Finally divide both sides by -2 and the equation becomes

-2x = 6
-2x/(-2) = 6/(-2)
x = -3

Cheers
Penny
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