a) Solve the following equations: 7 – 5x = 3x + 31

You need to have the x terms on one side of the equation, and the number terms on the other. Start by adding 5x to both sides.

7 - 5x = 3x + 31

+5x +5x

_________________

7 = 8x + 31

Now subtract 31 from both sides, so that you have x terms on the right and numbers on the left:

7 = 8x + 31

-31 -31

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- 24 = 8x

Now divide both sides by 8.

**x = -3**

Check the answer by plugging -3 back into the original.

7 - 5(-3) = 3(-3) + 31

7 + 15 = -9 + 31

22 = 22

## Comments

That's how I would do it! Well done Jack. Bruce S.