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

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


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

Reorder the terms:
5u + -2(-8 + u) = u + 8
5u + (-8 * -2 + u * -2) = u + 8
5u + (16 + -2u) = u + 8

Reorder the terms:
16 + 5u + -2u = u + 8

Combine like terms: 5u + -2u = 3u
16 + 3u = u + 8

Reorder the terms:
16 + 3u = 8 + u

Solving
16 + 3u = 8 + u

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
16 + 3u + -1u = 8 + u + -1u

Combine like terms: 3u + -1u = 2u
16 + 2u = 8 + u + -1u

Combine like terms: u + -1u = 0
16 + 2u = 8 + 0
16 + 2u = 8

Add '-16' to each side of the equation.
16 + -16 + 2u = 8 + -16

Combine like terms: 16 + -16 = 0
0 + 2u = 8 + -16
2u = 8 + -16

Combine like terms: 8 + -16 = -8
2u = -8

Divide each side by '2'.
u = -4

Simplifying
u = -4

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