8(4U-1)-12U=11(2u-6)-u

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Solution for 8(4U-1)-12U=11(2u-6)-u equation: 


Simplifying
8(4U + -1) + -12U = 11(2u + -6) + -1u

Reorder the terms:
8(-1 + 4U) + -12U = 11(2u + -6) + -1u
(-1 * 8 + 4U * 8) + -12U = 11(2u + -6) + -1u
(-8 + 32U) + -12U = 11(2u + -6) + -1u

Combine like terms: 32U + -12U = 20U
-8 + 20U = 11(2u + -6) + -1u

Reorder the terms:
-8 + 20U = 11(-6 + 2u) + -1u
-8 + 20U = (-6 * 11 + 2u * 11) + -1u
-8 + 20U = (-66 + 22u) + -1u

Combine like terms: 22u + -1u = 21u
-8 + 20U = -66 + 21u

Solving
-8 + 20U = -66 + 21u

Solving for variable 'U'.

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

Add '8' to each side of the equation.
-8 + 8 + 20U = -66 + 8 + 21u

Combine like terms: -8 + 8 = 0
0 + 20U = -66 + 8 + 21u
20U = -66 + 8 + 21u

Combine like terms: -66 + 8 = -58
20U = -58 + 21u

Divide each side by '20'.
U = -2.9 + 1.05u

Simplifying
U = -2.9 + 1.05u

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