Question

Use the Distributive Property to solve the equation.
4(x - 6) + 6 = 6x-2​

Answer 1

-8 =x

Explanation:

4(x - 6) + 6 = 6x-2​

Distribute the 4

4x - 24 +6 = 6x-2

Combine like terms

4x - 18 = 6x-2

Subtract 4x from each side

4x-18-4x = 6x-2-4x

-18 = 2x-2

Add 2 to each side

-18+2 = 2x-2+2

-16 = 2x

Divide each side by 2

-16/2 =2x/2

-8 =x

Answer 2

x = -8

Explanation:

(4 · x) - (4 · 6) + 6 = 6x - 2

4x - 24 + 6 = 6x - 2

4x - 18 = 6x - 2

Isolate x.

4x = 6x - 2 + 18

4x = 6x + 16

4x - 6x = 16

-2x = 16

x = 16 ÷ -2

x = -8

I hope this helps! :)