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

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

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

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

Reorder the terms in parentheses
+(+2x+6)=5*(x-1)-2*(x-3)

Remove unnecessary parentheses
+2x+6=+5+*(+x-1+)-2+*(+x-3+)

Reorder the terms in parentheses
+2x+6=+(+5x-5)-2*(x-3)

Remove unnecessary parentheses
+2x+6=+5x-5-2+*(+x-3+)

Reorder the terms in parentheses
+2x+6=+5x-5+(-2x+6)

Remove unnecessary parentheses
+2x+6=+5x-5-2x+6

We move all terms containing x to the left and all other terms to the right. 
+2x-5x+2x=-5+6-6

We simplify left and right side of the equation. 
-1x=-5

We divide both sides of the equation by -1 to get x. 
x=5