9u-2+2(3u+4)=-3(u+2)

Solution for 9u-2+2(3u+4)=-3(u+2) equation:

Simplifying
9u + -2 + 2(3u + 4) = -3(u + 2)

Reorder the terms:
9u + -2 + 2(4 + 3u) = -3(u + 2)
9u + -2 + (4 * 2 + 3u * 2) = -3(u + 2)
9u + -2 + (8 + 6u) = -3(u + 2)

Reorder the terms:
-2 + 8 + 9u + 6u = -3(u + 2)

Combine like terms: -2 + 8 = 6
6 + 9u + 6u = -3(u + 2)

Combine like terms: 9u + 6u = 15u
6 + 15u = -3(u + 2)

Reorder the terms:
6 + 15u = -3(2 + u)
6 + 15u = (2 * -3 + u * -3)
6 + 15u = (-6 + -3u)

Solving
6 + 15u = -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.
6 + 15u + 3u = -6 + -3u + 3u

Combine like terms: 15u + 3u = 18u
6 + 18u = -6 + -3u + 3u

Combine like terms: -3u + 3u = 0
6 + 18u = -6 + 0
6 + 18u = -6

Add '-6' to each side of the equation.
6 + -6 + 18u = -6 + -6

Combine like terms: 6 + -6 = 0
0 + 18u = -6 + -6
18u = -6 + -6

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

Divide each side by '18'.
u = -0.6666666667

Simplifying
u = -0.6666666667