Question

2(4x + 2) = 4x - 12(x - 1 )

Answer 1

x =
`(1)/(2)`

Explanation:

given

2(4x + 2) = 4x - 12(x - 1) ← distribute parenthesis on both sides

8x + 4 = 4x - 12x + 12 , that is

8x + 4 = - 8x + 12 ( add 8x to both sides )

8x + 8x + 4 = - 8x + 8x + 12 ( simplify both sides )

16x - 4 = 12 ( subtract 4 to both sides )

16x - 4 + 4 = 12 - 4 ( simplify )

16x = 8 ( divide both sides by 16 )

`(16)/(16)` x =
`(8)/(16)` , then

x =
`(1)/(2)`