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

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

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

We move all terms to the left:

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

We add all the numbers together, and all the variables

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

We multiply parentheses

-2x-(3(x-2))+16=0


We calculate terms in parentheses: -(3(x-2)), so:

3(x-2)

We multiply parentheses

3x-6

Back to the equation:

-(3x-6)


We get rid of parentheses

-2x-3x+6+16=0

We add all the numbers together, and all the variables

-5x+22=0

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

-5x=-22

x=-22/-5

x=4+2/5