15) 2 (4x - 3) - 8 = 4 + 2x

What is X

x = 3

Step-by-step explanation:

2 (4x - 3) - 8 = 4 + 2x

The goal is to get all the x's on one side of the equation, and everything else on the other.

Using distributive property, pull (4x - 3) out of it's brackets.

8x - 6 - 8 = 4 + 2x

Moving the 2x from the right side to the left side ...

8x - 2x - 6 - 8 = 4

Moving the whole numbers from the left side to the right side ...

8x - 2x = 4 + 6 + 8

Adding like terms ...

6x = 18

Divide both sides of the equation by 'x' which is 6,

6x/6 = 18/6

Therefore ...

x = 3

2 (4x - 3) - 8 = 4 + 2x

Mutiply the bracket by 2

(2) (4x) (2) (-3) - 8 = 4+2x

8x-6-8 = 4+2x

8x-14=4+2x

Move + 2x to the other side

Sign changes from + 2x to - 2x.

8x-2x-14 = 4+2x-2x

8x-2x-14 = 4

Move - 14 to the other side

Sign changes from - 14 to + 14.

8x-2x-14+14 = 4+14

8x-2x = 18

6x = 18

Divide both sides by 6

6x/6 = 18/6

Cross out 6 and 6, divide by 6 and then becomes x

x = 3

Answer: x = 3