-9u+42=3(u+6)

Solution for -9u+42=3(u+6) equation:

Simplifying
-9u + 42 = 3(u + 6)

Reorder the terms:
42 + -9u = 3(u + 6)

Reorder the terms:
42 + -9u = 3(6 + u)
42 + -9u = (6 * 3 + u * 3)
42 + -9u = (18 + 3u)

Solving
42 + -9u = 18 + 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.
42 + -9u + -3u = 18 + 3u + -3u

Combine like terms: -9u + -3u = -12u
42 + -12u = 18 + 3u + -3u

Combine like terms: 3u + -3u = 0
42 + -12u = 18 + 0
42 + -12u = 18

Add '-42' to each side of the equation.
42 + -42 + -12u = 18 + -42

Combine like terms: 42 + -42 = 0
0 + -12u = 18 + -42
-12u = 18 + -42

Combine like terms: 18 + -42 = -24
-12u = -24

Divide each side by '-12'.
u = 2

Simplifying
u = 2