-6(2u-1)+9u=5(u+4)

Solution for -6(2u-1)+9u=5(u+4) equation:

Simplifying
-6(2u + -1) + 9u = 5(u + 4)

Reorder the terms:
-6(-1 + 2u) + 9u = 5(u + 4)
(-1 * -6 + 2u * -6) + 9u = 5(u + 4)
(6 + -12u) + 9u = 5(u + 4)

Combine like terms: -12u + 9u = -3u
6 + -3u = 5(u + 4)

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

Solving
6 + -3u = 20 + 5u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-5u' to each side of the equation.
6 + -3u + -5u = 20 + 5u + -5u

Combine like terms: -3u + -5u = -8u
6 + -8u = 20 + 5u + -5u

Combine like terms: 5u + -5u = 0
6 + -8u = 20 + 0
6 + -8u = 20

Add '-6' to each side of the equation.
6 + -6 + -8u = 20 + -6

Combine like terms: 6 + -6 = 0
0 + -8u = 20 + -6
-8u = 20 + -6

Combine like terms: 20 + -6 = 14
-8u = 14

Divide each side by '-8'.
u = -1.75

Simplifying
u = -1.75