Question

Solve the following using the distributive property:
8x+12=2(x-3)​

Answer 1

x = -3

Explanation:

you first distribute 2(x-3) which gives you 2x-6 so 8x+12=2x-6.

next you move the terms to the correct side so you subtract 12 from the left side and subtract 2x from the right side then move them to the other side so you end up with 8x-2x=-6-12.

then you combine like terms so you will have 6x=-18.

then divide both sides by 6 which gives you x = -3.

8x+12=2(x-3)

8x+12 = 2x-6

8x-2x = 6-12

6x = -18

x = -3

Answer 2

x = - 3

Explanation:

8x + 12 = 2(x - 3) ← distribute the parenthesis by 2

8x + 12 = 2x - 6 ( subtract 2x from both sides )

6x + 12 = - 6 ( subtract 12 from both sides )

6x = - 18 ( divide both sides by 6 )

x = - 3