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

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


Simplifying
3u + -8 = 5(2 + -1u) + -2

Reorder the terms:
-8 + 3u = 5(2 + -1u) + -2
-8 + 3u = (2 * 5 + -1u * 5) + -2
-8 + 3u = (10 + -5u) + -2

Reorder the terms:
-8 + 3u = 10 + -2 + -5u

Combine like terms: 10 + -2 = 8
-8 + 3u = 8 + -5u

Solving
-8 + 3u = 8 + -5u

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
-8 + 3u + 5u = 8 + -5u + 5u

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

Combine like terms: -5u + 5u = 0
-8 + 8u = 8 + 0
-8 + 8u = 8

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

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

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

Divide each side by '8'.
u = 2

Simplifying
u = 2

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