4(u-2)-8=-5(-3u+8)

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Solution for 4(u-2)-8=-5(-3u+8) equation:


Simplifying
4(u + -2) + -8 = -5(-3u + 8)

Reorder the terms:
4(-2 + u) + -8 = -5(-3u + 8)
(-2 * 4 + u * 4) + -8 = -5(-3u + 8)
(-8 + 4u) + -8 = -5(-3u + 8)

Reorder the terms:
-8 + -8 + 4u = -5(-3u + 8)

Combine like terms: -8 + -8 = -16
-16 + 4u = -5(-3u + 8)

Reorder the terms:
-16 + 4u = -5(8 + -3u)
-16 + 4u = (8 * -5 + -3u * -5)
-16 + 4u = (-40 + 15u)

Solving
-16 + 4u = -40 + 15u

Solving for variable 'u'.

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

Add '-15u' to each side of the equation.
-16 + 4u + -15u = -40 + 15u + -15u

Combine like terms: 4u + -15u = -11u
-16 + -11u = -40 + 15u + -15u

Combine like terms: 15u + -15u = 0
-16 + -11u = -40 + 0
-16 + -11u = -40

Add '16' to each side of the equation.
-16 + 16 + -11u = -40 + 16

Combine like terms: -16 + 16 = 0
0 + -11u = -40 + 16
-11u = -40 + 16

Combine like terms: -40 + 16 = -24
-11u = -24

Divide each side by '-11'.
u = 2.181818182

Simplifying
u = 2.181818182

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