6(u+1)=9u-9

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

Simplifying
6(u + 1) = 9u + -9

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

Reorder the terms:
6 + 6u = -9 + 9u

Solving
6 + 6u = -9 + 9u

Solving for variable 'u'.

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

Add '-9u' to each side of the equation.
6 + 6u + -9u = -9 + 9u + -9u

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

Combine like terms: 9u + -9u = 0
6 + -3u = -9 + 0
6 + -3u = -9

Add '-6' to each side of the equation.
6 + -6 + -3u = -9 + -6

Combine like terms: 6 + -6 = 0
0 + -3u = -9 + -6
-3u = -9 + -6

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

Divide each side by '-3'.
u = 5

Simplifying
u = 5