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

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

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

Reorder the terms:
u + 2 + -3(-2 + -3u) = 2(u + -1)
u + 2 + (-2 * -3 + -3u * -3) = 2(u + -1)
u + 2 + (6 + 9u) = 2(u + -1)

Reorder the terms:
2 + 6 + u + 9u = 2(u + -1)

Combine like terms: 2 + 6 = 8
8 + u + 9u = 2(u + -1)

Combine like terms: u + 9u = 10u
8 + 10u = 2(u + -1)

Reorder the terms:
8 + 10u = 2(-1 + u)
8 + 10u = (-1 * 2 + u * 2)
8 + 10u = (-2 + 2u)

Solving
8 + 10u = -2 + 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.
8 + 10u + -2u = -2 + 2u + -2u

Combine like terms: 10u + -2u = 8u
8 + 8u = -2 + 2u + -2u

Combine like terms: 2u + -2u = 0
8 + 8u = -2 + 0
8 + 8u = -2

Add '-8' to each side of the equation.
8 + -8 + 8u = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 8u = -2 + -8
8u = -2 + -8

Combine like terms: -2 + -8 = -10
8u = -10

Divide each side by '8'.
u = -1.25

Simplifying
u = -1.25