2(u+2)-u=3(u-1)+9

Solution for 2(u+2)-u=3(u-1)+9 equation:

Simplifying
2(u + 2) + -1u = 3(u + -1) + 9

Reorder the terms:
2(2 + u) + -1u = 3(u + -1) + 9
(2 * 2 + u * 2) + -1u = 3(u + -1) + 9
(4 + 2u) + -1u = 3(u + -1) + 9

Combine like terms: 2u + -1u = 1u
4 + 1u = 3(u + -1) + 9

Reorder the terms:
4 + 1u = 3(-1 + u) + 9
4 + 1u = (-1 * 3 + u * 3) + 9
4 + 1u = (-3 + 3u) + 9

Reorder the terms:
4 + 1u = -3 + 9 + 3u

Combine like terms: -3 + 9 = 6
4 + 1u = 6 + 3u

Solving
4 + 1u = 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.
4 + 1u + -3u = 6 + 3u + -3u

Combine like terms: 1u + -3u = -2u
4 + -2u = 6 + 3u + -3u

Combine like terms: 3u + -3u = 0
4 + -2u = 6 + 0
4 + -2u = 6

Add '-4' to each side of the equation.
4 + -4 + -2u = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -2u = 6 + -4
-2u = 6 + -4

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

Divide each side by '-2'.
u = -1

Simplifying
u = -1