3(x-2)-2(2x+5)=-3(4-2x)

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

3(x-2)-2(2x+5)=-3(4-2x)

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

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

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

Reorder the terms in parentheses
+3x-6+(-4x-10)=-3*(4-2x)

Remove unnecessary parentheses
+3x-6-4x-10=-3+*(+4-2x+)

Reorder the terms in parentheses
+3x-6-4x-10=+(-12+6x)

Remove unnecessary parentheses
+3x-6-4x-10=-12+6x

We move all terms containing x to the left and all other terms to the right. 
+3x-4x-6x=-12+6+10

We simplify left and right side of the equation. 
-7x=+4

We divide both sides of the equation by -7 to get x. 
x=-0.57142857142857