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

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

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

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

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

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

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

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

We move all terms containing x to the left and all other terms to the right. 
+1x-2x+3x=+5+6+4

We simplify left and right side of the equation. 
+2x=+15

We divide both sides of the equation by 2 to get x. 
x=7.5