3u-5=8u-28+8

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Solution for 3u-5=8u-28+8 equation:


Simplifying
3u + -5 = 8u + -28 + 8

Reorder the terms:
-5 + 3u = 8u + -28 + 8

Reorder the terms:
-5 + 3u = -28 + 8 + 8u

Combine like terms: -28 + 8 = -20
-5 + 3u = -20 + 8u

Solving
-5 + 3u = -20 + 8u

Solving for variable 'u'.

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

Add '-8u' to each side of the equation.
-5 + 3u + -8u = -20 + 8u + -8u

Combine like terms: 3u + -8u = -5u
-5 + -5u = -20 + 8u + -8u

Combine like terms: 8u + -8u = 0
-5 + -5u = -20 + 0
-5 + -5u = -20

Add '5' to each side of the equation.
-5 + 5 + -5u = -20 + 5

Combine like terms: -5 + 5 = 0
0 + -5u = -20 + 5
-5u = -20 + 5

Combine like terms: -20 + 5 = -15
-5u = -15

Divide each side by '-5'.
u = 3

Simplifying
u = 3

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