2(u-1)+8=6(2u-4)

Solution for 2(u-1)+8=6(2u-4) equation:

Simplifying
2(u + -1) + 8 = 6(2u + -4)

Reorder the terms:
2(-1 + u) + 8 = 6(2u + -4)
(-1 * 2 + u * 2) + 8 = 6(2u + -4)
(-2 + 2u) + 8 = 6(2u + -4)

Reorder the terms:
-2 + 8 + 2u = 6(2u + -4)

Combine like terms: -2 + 8 = 6
6 + 2u = 6(2u + -4)

Reorder the terms:
6 + 2u = 6(-4 + 2u)
6 + 2u = (-4 * 6 + 2u * 6)
6 + 2u = (-24 + 12u)

Solving
6 + 2u = -24 + 12u

Solving for variable 'u'.

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

Add '-12u' to each side of the equation.
6 + 2u + -12u = -24 + 12u + -12u

Combine like terms: 2u + -12u = -10u
6 + -10u = -24 + 12u + -12u

Combine like terms: 12u + -12u = 0
6 + -10u = -24 + 0
6 + -10u = -24

Add '-6' to each side of the equation.
6 + -6 + -10u = -24 + -6

Combine like terms: 6 + -6 = 0
0 + -10u = -24 + -6
-10u = -24 + -6

Combine like terms: -24 + -6 = -30
-10u = -30

Divide each side by '-10'.
u = 3

Simplifying
u = 3