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

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

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

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

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

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

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

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

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

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

We move all terms containing x to the left and all other terms to the right. 
+2x-8x-1x+3x=-6-6+4

We simplify left and right side of the equation. 
-4x=-8

We divide both sides of the equation by -4 to get x. 
x=2