2(3u+3)+5u=4(u-3)-2u

Solution for 2(3u+3)+5u=4(u-3)-2u equation:

Simplifying
2(3u + 3) + 5u = 4(u + -3) + -2u

Reorder the terms:
2(3 + 3u) + 5u = 4(u + -3) + -2u
(3 * 2 + 3u * 2) + 5u = 4(u + -3) + -2u
(6 + 6u) + 5u = 4(u + -3) + -2u

Combine like terms: 6u + 5u = 11u
6 + 11u = 4(u + -3) + -2u

Reorder the terms:
6 + 11u = 4(-3 + u) + -2u
6 + 11u = (-3 * 4 + u * 4) + -2u
6 + 11u = (-12 + 4u) + -2u

Combine like terms: 4u + -2u = 2u
6 + 11u = -12 + 2u

Solving
6 + 11u = -12 + 2u

Solving for variable 'u'.

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

Add '-2u' to each side of the equation.
6 + 11u + -2u = -12 + 2u + -2u

Combine like terms: 11u + -2u = 9u
6 + 9u = -12 + 2u + -2u

Combine like terms: 2u + -2u = 0
6 + 9u = -12 + 0
6 + 9u = -12

Add '-6' to each side of the equation.
6 + -6 + 9u = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9u = -12 + -6
9u = -12 + -6

Combine like terms: -12 + -6 = -18
9u = -18

Divide each side by '9'.
u = -2

Simplifying
u = -2