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

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

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

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

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

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

Reorder the terms in parentheses
1+2x=+4x+8+(-3x+9)

Remove unnecessary parentheses
+1+2x=+4x+8-3x+9

We move all terms containing x to the left and all other terms to the right. 
+2x-4x+3x=+8+9-1

We simplify left and right side of the equation. 
+1x=+16

We divide both sides of the equation by 1 to get x. 
x=16