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

Solution for 3(2x-8)=2(4-x) equation:

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

We move all terms to the left:

3(2x-8)-(2(4-x))=0

We add all the numbers together, and all the variables

3(2x-8)-(2(-1x+4))=0

We multiply parentheses

6x-(2(-1x+4))-24=0


We calculate terms in parentheses: -(2(-1x+4)), so:

2(-1x+4)

We multiply parentheses

-2x+8

Back to the equation:

-(-2x+8)


We get rid of parentheses

6x+2x-8-24=0

We add all the numbers together, and all the variables

8x-32=0

We move all terms containing x to the left, all other terms to the right

8x=32

x=32/8

x=4