6=2(u+6)-8u

Solution for 6=2(u+6)-8u equation:

Simplifying
6 = 2(u + 6) + -8u

Reorder the terms:
6 = 2(6 + u) + -8u
6 = (6 * 2 + u * 2) + -8u
6 = (12 + 2u) + -8u

Combine like terms: 2u + -8u = -6u
6 = 12 + -6u

Solving
6 = 12 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
6 + 6u = 12 + -6u + 6u

Combine like terms: -6u + 6u = 0
6 + 6u = 12 + 0
6 + 6u = 12

Add '-6' to each side of the equation.
6 + -6 + 6u = 12 + -6

Combine like terms: 6 + -6 = 0
0 + 6u = 12 + -6
6u = 12 + -6

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

Divide each side by '6'.
u = 1

Simplifying
u = 1