-2(7u-3)+9u=3(u+4)

Solution for -2(7u-3)+9u=3(u+4) equation:

Simplifying
-2(7u + -3) + 9u = 3(u + 4)

Reorder the terms:
-2(-3 + 7u) + 9u = 3(u + 4)
(-3 * -2 + 7u * -2) + 9u = 3(u + 4)
(6 + -14u) + 9u = 3(u + 4)

Combine like terms: -14u + 9u = -5u
6 + -5u = 3(u + 4)

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

Solving
6 + -5u = 12 + 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 + -5u + -3u = 12 + 3u + -3u

Combine like terms: -5u + -3u = -8u
6 + -8u = 12 + 3u + -3u

Combine like terms: 3u + -3u = 0
6 + -8u = 12 + 0
6 + -8u = 12

Add '-6' to each side of the equation.
6 + -6 + -8u = 12 + -6

Combine like terms: 6 + -6 = 0
0 + -8u = 12 + -6
-8u = 12 + -6

Combine like terms: 12 + -6 = 6
-8u = 6

Divide each side by '-8'.
u = -0.75

Simplifying
u = -0.75