-3u+12u+6=7u+30

Solution for -3u+12u+6=7u+30 equation:

Simplifying
-3u + 12u + 6 = 7u + 30

Reorder the terms:
6 + -3u + 12u = 7u + 30

Combine like terms: -3u + 12u = 9u
6 + 9u = 7u + 30

Reorder the terms:
6 + 9u = 30 + 7u

Solving
6 + 9u = 30 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
6 + 9u + -7u = 30 + 7u + -7u

Combine like terms: 9u + -7u = 2u
6 + 2u = 30 + 7u + -7u

Combine like terms: 7u + -7u = 0
6 + 2u = 30 + 0
6 + 2u = 30

Add '-6' to each side of the equation.
6 + -6 + 2u = 30 + -6

Combine like terms: 6 + -6 = 0
0 + 2u = 30 + -6
2u = 30 + -6

Combine like terms: 30 + -6 = 24
2u = 24

Divide each side by '2'.
u = 12

Simplifying
u = 12