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

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

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

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

Reorder the terms in parentheses
7u+3+(+4u+6)=2*(u-3)

Remove unnecessary parentheses
+7u+3+4u+6=+2+*(+u-3+)

Reorder the terms in parentheses
7u+3+4u+6=+(+2u-6)

Remove unnecessary parentheses
+7u+3+4u+6=+2u-6

We move all terms containing u to the left and all other terms to the right. 
+7u+4u-2u=-6-3-6

We simplify left and right side of the equation. 
+9u=-15

We divide both sides of the equation by 9 to get u. 
u=-1.66666666667