2(u+4)-3(6+u)=-2(u-7)

Solution for 2(u+4)-3(6+u)=-2(u-7) equation:

2(u+4)-3(6+u)=-2(u-7)

We simplify the equation to the form, which is simple to understand 
2(u+4)-3(6+u)=-2(u-7)

Reorder the terms in parentheses
+(+2u+8)-3*(6+u)=-2*(u-7)

Remove unnecessary parentheses
+2u+8-3+*(+6+u+)=-2+*(+u-7+)

Reorder the terms in parentheses
+2u+8+(-18-3u)=-2*(u-7)

Remove unnecessary parentheses
+2u+8-18-3u=-2+*(+u-7+)

Reorder the terms in parentheses
+2u+8-18-3u=+(-2u+14)

Remove unnecessary parentheses
+2u+8-18-3u=-2u+14

We move all terms containing u to the left and all other terms to the right. 
+2u-3u+2u=+14-8+18

We simplify left and right side of the equation. 
+1u=+24

We divide both sides of the equation by 1 to get u. 
u=24