3(u-2)=5u+8

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


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

Reorder the terms:
3(-2 + u) = 5u + 8
(-2 * 3 + u * 3) = 5u + 8
(-6 + 3u) = 5u + 8

Reorder the terms:
-6 + 3u = 8 + 5u

Solving
-6 + 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.
-6 + 3u + -5u = 8 + 5u + -5u

Combine like terms: 3u + -5u = -2u
-6 + -2u = 8 + 5u + -5u

Combine like terms: 5u + -5u = 0
-6 + -2u = 8 + 0
-6 + -2u = 8

Add '6' to each side of the equation.
-6 + 6 + -2u = 8 + 6

Combine like terms: -6 + 6 = 0
0 + -2u = 8 + 6
-2u = 8 + 6

Combine like terms: 8 + 6 = 14
-2u = 14

Divide each side by '-2'.
u = -7

Simplifying
u = -7

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