2(3x-2)-3(X-4)=2(X-3)

Solution for 2(3x-2)-3(X-4)=2(X-3) equation:

2(3x-2)-3(x-4)=2(x-3)

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

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

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

Reorder the terms in parentheses
+6x-4+(-3x+12)=2*(x-3)

Remove unnecessary parentheses
+6x-4-3x+12=+2+*(+x-3+)

Reorder the terms in parentheses
+6x-4-3x+12=+(+2x-6)

Remove unnecessary parentheses
+6x-4-3x+12=+2x-6

We move all terms containing x to the left and all other terms to the right. 
+6x-3x-2x=-6+4-12

We simplify left and right side of the equation. 
+1x=-14

We divide both sides of the equation by 1 to get x. 
x=-14