2(x-3)-3(4x-5)=17-8x

Solution for 2(x-3)-3(4x-5)=17-8x equation:

2(x-3)-3(4x-5)=17-8x

We simplify the equation to the form, which is simple to understand 
2(x-3)-3(4x-5)=17-8x

Reorder the terms in parentheses
+(+2x-6)-3*(4x-5)=17-8x

Remove unnecessary parentheses
+2x-6-3+*(+4x-5+)=+17-8x

Reorder the terms in parentheses
+2x-6+(-12x+15)=17-8x

Remove unnecessary parentheses
+2x-6-12x+15=+17-8x

We move all terms containing x to the left and all other terms to the right. 
+2x-12x+8x=+17+6-15

We simplify left and right side of the equation. 
-2x=+8

We divide both sides of the equation by -2 to get x. 
x=-4