6=3(u+6)-5

Solution for 6=3(u+6)-5 equation:

Simplifying
6 = 3(u + 6) + -5

Reorder the terms:
6 = 3(6 + u) + -5
6 = (6 * 3 + u * 3) + -5
6 = (18 + 3u) + -5

Reorder the terms:
6 = 18 + -5 + 3u

Combine like terms: 18 + -5 = 13
6 = 13 + 3u

Solving
6 = 13 + 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 = 13 + 3u + -3u

Combine like terms: 3u + -3u = 0
6 + -3u = 13 + 0
6 + -3u = 13

Add '-6' to each side of the equation.
6 + -6 + -3u = 13 + -6

Combine like terms: 6 + -6 = 0
0 + -3u = 13 + -6
-3u = 13 + -6

Combine like terms: 13 + -6 = 7
-3u = 7

Divide each side by '-3'.
u = -2.333333333

Simplifying
u = -2.333333333