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

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

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

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

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

Combine like terms: -6 + 6 = 0
0 + u + 6u = -3(u + 2)
u + 6u = -3(u + 2)

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

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

Solving
7u = -6 + -3u

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
7u + 3u = -6 + -3u + 3u

Combine like terms: 7u + 3u = 10u
10u = -6 + -3u + 3u

Combine like terms: -3u + 3u = 0
10u = -6 + 0
10u = -6

Divide each side by '10'.
u = -0.6

Simplifying
u = -0.6