(4u-6)=2(4u-3)-(u-8)

Solution for (4u-6)=2(4u-3)-(u-8) equation:

Simplifying
(4u + -6) = 2(4u + -3) + -1(u + -8)

Reorder the terms:
(-6 + 4u) = 2(4u + -3) + -1(u + -8)

Remove parenthesis around (-6 + 4u)
-6 + 4u = 2(4u + -3) + -1(u + -8)

Reorder the terms:
-6 + 4u = 2(-3 + 4u) + -1(u + -8)
-6 + 4u = (-3 * 2 + 4u * 2) + -1(u + -8)
-6 + 4u = (-6 + 8u) + -1(u + -8)

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

Reorder the terms:
-6 + 4u = -6 + 8 + 8u + -1u

Combine like terms: -6 + 8 = 2
-6 + 4u = 2 + 8u + -1u

Combine like terms: 8u + -1u = 7u
-6 + 4u = 2 + 7u

Solving
-6 + 4u = 2 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
-6 + 4u + -7u = 2 + 7u + -7u

Combine like terms: 4u + -7u = -3u
-6 + -3u = 2 + 7u + -7u

Combine like terms: 7u + -7u = 0
-6 + -3u = 2 + 0
-6 + -3u = 2

Add '6' to each side of the equation.
-6 + 6 + -3u = 2 + 6

Combine like terms: -6 + 6 = 0
0 + -3u = 2 + 6
-3u = 2 + 6

Combine like terms: 2 + 6 = 8
-3u = 8

Divide each side by '-3'.
u = -2.666666667

Simplifying
u = -2.666666667