3(u+2)=-4(3u-5)+9u

Solution for 3(u+2)=-4(3u-5)+9u equation:

Simplifying
3(u + 2) = -4(3u + -5) + 9u

Reorder the terms:
3(2 + u) = -4(3u + -5) + 9u
(2 * 3 + u * 3) = -4(3u + -5) + 9u
(6 + 3u) = -4(3u + -5) + 9u

Reorder the terms:
6 + 3u = -4(-5 + 3u) + 9u
6 + 3u = (-5 * -4 + 3u * -4) + 9u
6 + 3u = (20 + -12u) + 9u

Combine like terms: -12u + 9u = -3u
6 + 3u = 20 + -3u

Solving
6 + 3u = 20 + -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 + 3u + 3u = 20 + -3u + 3u

Combine like terms: 3u + 3u = 6u
6 + 6u = 20 + -3u + 3u

Combine like terms: -3u + 3u = 0
6 + 6u = 20 + 0
6 + 6u = 20

Add '-6' to each side of the equation.
6 + -6 + 6u = 20 + -6

Combine like terms: 6 + -6 = 0
0 + 6u = 20 + -6
6u = 20 + -6

Combine like terms: 20 + -6 = 14
6u = 14

Divide each side by '6'.
u = 2.333333333

Simplifying
u = 2.333333333