-2(x+2)+4(2x-3)=3(x+1)-6

Solution for -2(x+2)+4(2x-3)=3(x+1)-6 equation:

-2(x+2)+4(2x-3)=3(x+1)-6

We simplify the equation to the form, which is simple to understand 
-2(x+2)+4(2x-3)=3(x+1)-6

Reorder the terms in parentheses
+(-2x-4)+4*(2x-3)=3*(x+1)-6

Remove unnecessary parentheses
-2x-4+4+*(+2x-3+)=+3+*(+x+1+)-6

Reorder the terms in parentheses
-2x-4+(+8x-12)=3*(x+1)-6

Remove unnecessary parentheses
-2x-4+8x-12=+3+*(+x+1+)-6

Reorder the terms in parentheses
-2x-4+8x-12=+(+3x+3)-6

Remove unnecessary parentheses
-2x-4+8x-12=+3x+3-6

We move all terms containing x to the left and all other terms to the right. 
-2x+8x-3x=+3-6+4+12

We simplify left and right side of the equation. 
+3x=+13

We divide both sides of the equation by 3 to get x. 
x=4.3333333333333