2(u+2)+2=3(u-1)+6

Solution for 2(u+2)+2=3(u-1)+6 equation:

Simplifying
2(u + 2) + 2 = 3(u + -1) + 6

Reorder the terms:
2(2 + u) + 2 = 3(u + -1) + 6
(2 * 2 + u * 2) + 2 = 3(u + -1) + 6
(4 + 2u) + 2 = 3(u + -1) + 6

Reorder the terms:
4 + 2 + 2u = 3(u + -1) + 6

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

Reorder the terms:
6 + 2u = 3(-1 + u) + 6
6 + 2u = (-1 * 3 + u * 3) + 6
6 + 2u = (-3 + 3u) + 6

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

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

Solving
6 + 2u = 3 + 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.
6 + 2u + -3u = 3 + 3u + -3u

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

Combine like terms: 3u + -3u = 0
6 + -1u = 3 + 0
6 + -1u = 3

Add '-6' to each side of the equation.
6 + -6 + -1u = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 3 + -6
-1u = 3 + -6

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

Divide each side by '-1'.
u = 3

Simplifying
u = 3