-2(3u-1)+2u=6+2(3u-5)

Solution for -2(3u-1)+2u=6+2(3u-5) equation:

Simplifying
-2(3u + -1) + 2u = 6 + 2(3u + -5)

Reorder the terms:
-2(-1 + 3u) + 2u = 6 + 2(3u + -5)
(-1 * -2 + 3u * -2) + 2u = 6 + 2(3u + -5)
(2 + -6u) + 2u = 6 + 2(3u + -5)

Combine like terms: -6u + 2u = -4u
2 + -4u = 6 + 2(3u + -5)

Reorder the terms:
2 + -4u = 6 + 2(-5 + 3u)
2 + -4u = 6 + (-5 * 2 + 3u * 2)
2 + -4u = 6 + (-10 + 6u)

Combine like terms: 6 + -10 = -4
2 + -4u = -4 + 6u

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

Combine like terms: -4u + -6u = -10u
2 + -10u = -4 + 6u + -6u

Combine like terms: 6u + -6u = 0
2 + -10u = -4 + 0
2 + -10u = -4

Add '-2' to each side of the equation.
2 + -2 + -10u = -4 + -2

Combine like terms: 2 + -2 = 0
0 + -10u = -4 + -2
-10u = -4 + -2

Combine like terms: -4 + -2 = -6
-10u = -6

Divide each side by '-10'.
u = 0.6

Simplifying
u = 0.6