Question

If 6-2(2x+2)=x+17, then x =

Answer 1

x = -3

Explanation:

First, apply the distributive property ... a(b + c) = ab + ac:

6 - 2(2x + 2) = x + 17

6 - 2(2x) - 2(2) = x + 17

6 - 4x - 4 = x + 17

2 - 4x = x + 17

Next, add 4x to both sides:

2 = 5x + 17

Then, subtract 17 from both sides:

-15 = 5x

Finally, divide both sides by 5:

x = -3