-6(u+1)=2(1-3u)-u

Solution for -6(u+1)=2(1-3u)-u equation:

Simplifying
-6(u + 1) = 2(1 + -3u) + -1u

Reorder the terms:
-6(1 + u) = 2(1 + -3u) + -1u
(1 * -6 + u * -6) = 2(1 + -3u) + -1u
(-6 + -6u) = 2(1 + -3u) + -1u
-6 + -6u = (1 * 2 + -3u * 2) + -1u
-6 + -6u = (2 + -6u) + -1u

Combine like terms: -6u + -1u = -7u
-6 + -6u = 2 + -7u

Solving
-6 + -6u = 2 + -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 + -6u + 7u = 2 + -7u + 7u

Combine like terms: -6u + 7u = 1u
-6 + 1u = 2 + -7u + 7u

Combine like terms: -7u + 7u = 0
-6 + 1u = 2 + 0
-6 + 1u = 2

Add '6' to each side of the equation.
-6 + 6 + 1u = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 1u = 2 + 6
1u = 2 + 6

Combine like terms: 2 + 6 = 8
1u = 8

Divide each side by '1'.
u = 8

Simplifying
u = 8