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

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

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

We simplify the equation to the form, which is simple to understand 
5(x-1)-3(x-2)=5-(x-3)

Reorder the terms in parentheses
+(+5x-5)-3*(x-2)=5-(x-3)

Remove unnecessary parentheses
+5x-5-3+*(+x-2+)=+5-(+x-3+)

Reorder the terms in parentheses
+5x-5+(-3x+6)=5-(x-3)

Remove unnecessary parentheses
+5x-5-3x+6=+5-(+x-3+)

Remove unnecessary parentheses
+5x-5-3x+6=5-1x+3

We move all terms containing x to the left and all other terms to the right. 
+5x-3x+1x=+5+3+5-6

We simplify left and right side of the equation. 
+3x=+7

We divide both sides of the equation by 3 to get x. 
x=2.33333333333