2(6-x)=3(x-1)

Solution for 2(6-x)=3(x-1) equation:

2(6-x)=3(x-1)

We move all terms to the left:

2(6-x)-(3(x-1))=0

We add all the numbers together, and all the variables

2(-1x+6)-(3(x-1))=0

We multiply parentheses

-2x-(3(x-1))+12=0


We calculate terms in parentheses: -(3(x-1)), so:

3(x-1)

We multiply parentheses

3x-3

Back to the equation:

-(3x-3)


We get rid of parentheses

-2x-3x+3+12=0

We add all the numbers together, and all the variables

-5x+15=0

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

-5x=-15

x=-15/-5

x=+3