3(x-2)=-5(x-1)+5

Solution for 3(x-2)=-5(x-1)+5 equation:

3(x-2)=-5(x-1)+5

We move all terms to the left:

3(x-2)-(-5(x-1)+5)=0

We multiply parentheses

3x-(-5(x-1)+5)-6=0


We calculate terms in parentheses: -(-5(x-1)+5), so:

-5(x-1)+5

We multiply parentheses

-5x+5+5

We add all the numbers together, and all the variables

-5x+10

Back to the equation:

-(-5x+10)


We get rid of parentheses

3x+5x-10-6=0

We add all the numbers together, and all the variables

8x-16=0

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

8x=16

x=16/8

x=2