32=(2u+12)+(5u-8)

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Solution for 32=(2u+12)+(5u-8) equation: 


Simplifying
32 = (2u + 12) + (5u + -8)

Reorder the terms:
32 = (12 + 2u) + (5u + -8)

Remove parenthesis around (12 + 2u)
32 = 12 + 2u + (5u + -8)

Reorder the terms:
32 = 12 + 2u + (-8 + 5u)

Remove parenthesis around (-8 + 5u)
32 = 12 + 2u + -8 + 5u

Reorder the terms:
32 = 12 + -8 + 2u + 5u

Combine like terms: 12 + -8 = 4
32 = 4 + 2u + 5u

Combine like terms: 2u + 5u = 7u
32 = 4 + 7u

Solving
32 = 4 + 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.
32 + -7u = 4 + 7u + -7u

Combine like terms: 7u + -7u = 0
32 + -7u = 4 + 0
32 + -7u = 4

Add '-32' to each side of the equation.
32 + -32 + -7u = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -7u = 4 + -32
-7u = 4 + -32

Combine like terms: 4 + -32 = -28
-7u = -28

Divide each side by '-7'.
u = 4

Simplifying
u = 4

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