-5(2u-8)+9u=7(u+5)

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Solution for -5(2u-8)+9u=7(u+5) equation:


Simplifying
-5(2u + -8) + 9u = 7(u + 5)

Reorder the terms:
-5(-8 + 2u) + 9u = 7(u + 5)
(-8 * -5 + 2u * -5) + 9u = 7(u + 5)
(40 + -10u) + 9u = 7(u + 5)

Combine like terms: -10u + 9u = -1u
40 + -1u = 7(u + 5)

Reorder the terms:
40 + -1u = 7(5 + u)
40 + -1u = (5 * 7 + u * 7)
40 + -1u = (35 + 7u)

Solving
40 + -1u = 35 + 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.
40 + -1u + -7u = 35 + 7u + -7u

Combine like terms: -1u + -7u = -8u
40 + -8u = 35 + 7u + -7u

Combine like terms: 7u + -7u = 0
40 + -8u = 35 + 0
40 + -8u = 35

Add '-40' to each side of the equation.
40 + -40 + -8u = 35 + -40

Combine like terms: 40 + -40 = 0
0 + -8u = 35 + -40
-8u = 35 + -40

Combine like terms: 35 + -40 = -5
-8u = -5

Divide each side by '-8'.
u = 0.625

Simplifying
u = 0.625

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