2(4x-3)+5=3(2-2x)+1

Solution for 2(4x-3)+5=3(2-2x)+1 equation:

2(4x-3)+5=3(2-2x)+1

We simplify the equation to the form, which is simple to understand 
2(4x-3)+5=3(2-2x)+1

Reorder the terms in parentheses
+(+8x-6)+5=3*(2-2x)+1

Remove unnecessary parentheses
+8x-6+5=+3+*(+2-2x+)+1

Reorder the terms in parentheses
+8x-6+5=+(+6-6x)+1

Remove unnecessary parentheses
+8x-6+5=+6-6x+1

We move all terms containing x to the left and all other terms to the right. 
+8x+6x=+6+1+6-5

We simplify left and right side of the equation. 
+14x=+8

We divide both sides of the equation by 14 to get x. 
x=0.571428571429