-3(2u-4)+2u=6+2(4u-5)

Solution for -3(2u-4)+2u=6+2(4u-5) equation:

Simplifying
-3(2u + -4) + 2u = 6 + 2(4u + -5)

Reorder the terms:
-3(-4 + 2u) + 2u = 6 + 2(4u + -5)
(-4 * -3 + 2u * -3) + 2u = 6 + 2(4u + -5)
(12 + -6u) + 2u = 6 + 2(4u + -5)

Combine like terms: -6u + 2u = -4u
12 + -4u = 6 + 2(4u + -5)

Reorder the terms:
12 + -4u = 6 + 2(-5 + 4u)
12 + -4u = 6 + (-5 * 2 + 4u * 2)
12 + -4u = 6 + (-10 + 8u)

Combine like terms: 6 + -10 = -4
12 + -4u = -4 + 8u

Solving
12 + -4u = -4 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
12 + -4u + -8u = -4 + 8u + -8u

Combine like terms: -4u + -8u = -12u
12 + -12u = -4 + 8u + -8u

Combine like terms: 8u + -8u = 0
12 + -12u = -4 + 0
12 + -12u = -4

Add '-12' to each side of the equation.
12 + -12 + -12u = -4 + -12

Combine like terms: 12 + -12 = 0
0 + -12u = -4 + -12
-12u = -4 + -12

Combine like terms: -4 + -12 = -16
-12u = -16

Divide each side by '-12'.
u = 1.333333333

Simplifying
u = 1.333333333