42-3u=24u+6

Solution for 42-3u=24u+6 equation:

Simplifying
42 + -3u = 24u + 6

Reorder the terms:
42 + -3u = 6 + 24u

Solving
42 + -3u = 6 + 24u

Solving for variable 'u'.

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

Add '-24u' to each side of the equation.
42 + -3u + -24u = 6 + 24u + -24u

Combine like terms: -3u + -24u = -27u
42 + -27u = 6 + 24u + -24u

Combine like terms: 24u + -24u = 0
42 + -27u = 6 + 0
42 + -27u = 6

Add '-42' to each side of the equation.
42 + -42 + -27u = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -27u = 6 + -42
-27u = 6 + -42

Combine like terms: 6 + -42 = -36
-27u = -36

Divide each side by '-27'.
u = 1.333333333

Simplifying
u = 1.333333333