8u-31=-5(2-3u)

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Solution for 8u-31=-5(2-3u) equation:


Simplifying
8u + -31 = -5(2 + -3u)

Reorder the terms:
-31 + 8u = -5(2 + -3u)
-31 + 8u = (2 * -5 + -3u * -5)
-31 + 8u = (-10 + 15u)

Solving
-31 + 8u = -10 + 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.
-31 + 8u + -15u = -10 + 15u + -15u

Combine like terms: 8u + -15u = -7u
-31 + -7u = -10 + 15u + -15u

Combine like terms: 15u + -15u = 0
-31 + -7u = -10 + 0
-31 + -7u = -10

Add '31' to each side of the equation.
-31 + 31 + -7u = -10 + 31

Combine like terms: -31 + 31 = 0
0 + -7u = -10 + 31
-7u = -10 + 31

Combine like terms: -10 + 31 = 21
-7u = 21

Divide each side by '-7'.
u = -3

Simplifying
u = -3

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