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

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

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

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

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

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

Combine like terms: 10u + 4u = 14u
-6 + 6u = -12 + 14u

Solving
-6 + 6u = -12 + 14u

Solving for variable 'u'.

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

Add '-14u' to each side of the equation.
-6 + 6u + -14u = -12 + 14u + -14u

Combine like terms: 6u + -14u = -8u
-6 + -8u = -12 + 14u + -14u

Combine like terms: 14u + -14u = 0
-6 + -8u = -12 + 0
-6 + -8u = -12

Add '6' to each side of the equation.
-6 + 6 + -8u = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -8u = -12 + 6
-8u = -12 + 6

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

Divide each side by '-8'.
u = 0.75

Simplifying
u = 0.75