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

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

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

Reorder the terms:
-3(2 + u) + 2(u + 6) = 7
(2 * -3 + u * -3) + 2(u + 6) = 7
(-6 + -3u) + 2(u + 6) = 7

Reorder the terms:
-6 + -3u + 2(6 + u) = 7
-6 + -3u + (6 * 2 + u * 2) = 7
-6 + -3u + (12 + 2u) = 7

Reorder the terms:
-6 + 12 + -3u + 2u = 7

Combine like terms: -6 + 12 = 6
6 + -3u + 2u = 7

Combine like terms: -3u + 2u = -1u
6 + -1u = 7

Solving
6 + -1u = 7

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -1u = 7 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 7 + -6
-1u = 7 + -6

Combine like terms: 7 + -6 = 1
-1u = 1

Divide each side by '-1'.
u = -1

Simplifying
u = -1