6+2(2u-6)=-2(3u-1)+4u

Solution for 6+2(2u-6)=-2(3u-1)+4u equation:

Simplifying
6 + 2(2u + -6) = -2(3u + -1) + 4u

Reorder the terms:
6 + 2(-6 + 2u) = -2(3u + -1) + 4u
6 + (-6 * 2 + 2u * 2) = -2(3u + -1) + 4u
6 + (-12 + 4u) = -2(3u + -1) + 4u

Combine like terms: 6 + -12 = -6
-6 + 4u = -2(3u + -1) + 4u

Reorder the terms:
-6 + 4u = -2(-1 + 3u) + 4u
-6 + 4u = (-1 * -2 + 3u * -2) + 4u
-6 + 4u = (2 + -6u) + 4u

Combine like terms: -6u + 4u = -2u
-6 + 4u = 2 + -2u

Solving
-6 + 4u = 2 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
-6 + 4u + 2u = 2 + -2u + 2u

Combine like terms: 4u + 2u = 6u
-6 + 6u = 2 + -2u + 2u

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

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

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

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

Divide each side by '6'.
u = 1.333333333

Simplifying
u = 1.333333333