Question

15) 2(4x - 3) - 8 = 4 + 2x
What is X

Answer 1

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

Answer 2

x = 3

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