2u-9=5(u+3)

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Solution for 2u-9=5(u+3) equation:


Simplifying
2u + -9 = 5(u + 3)

Reorder the terms:
-9 + 2u = 5(u + 3)

Reorder the terms:
-9 + 2u = 5(3 + u)
-9 + 2u = (3 * 5 + u * 5)
-9 + 2u = (15 + 5u)

Solving
-9 + 2u = 15 + 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.
-9 + 2u + -5u = 15 + 5u + -5u

Combine like terms: 2u + -5u = -3u
-9 + -3u = 15 + 5u + -5u

Combine like terms: 5u + -5u = 0
-9 + -3u = 15 + 0
-9 + -3u = 15

Add '9' to each side of the equation.
-9 + 9 + -3u = 15 + 9

Combine like terms: -9 + 9 = 0
0 + -3u = 15 + 9
-3u = 15 + 9

Combine like terms: 15 + 9 = 24
-3u = 24

Divide each side by '-3'.
u = -8

Simplifying
u = -8

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