3u+6=4u-6

Solution for 3u+6=4u-6 equation:

Simplifying
3u + 6 = 4u + -6

Reorder the terms:
6 + 3u = 4u + -6

Reorder the terms:
6 + 3u = -6 + 4u

Solving
6 + 3u = -6 + 4u

Solving for variable 'u'.

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

Add '-4u' to each side of the equation.
6 + 3u + -4u = -6 + 4u + -4u

Combine like terms: 3u + -4u = -1u
6 + -1u = -6 + 4u + -4u

Combine like terms: 4u + -4u = 0
6 + -1u = -6 + 0
6 + -1u = -6

Add '-6' to each side of the equation.
6 + -6 + -1u = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = -6 + -6
-1u = -6 + -6

Combine like terms: -6 + -6 = -12
-1u = -12

Divide each side by '-1'.
u = 12

Simplifying
u = 12