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

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

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

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

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

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

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

Solving
-6 + 6u = 4

Solving for variable 'u'.

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

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

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

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

Divide each side by '6'.
u = 1.666666667

Simplifying
u = 1.666666667