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

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


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

Reorder the terms:
3(2 + 3u) + 5u = 5(u + -3) + 2u
(2 * 3 + 3u * 3) + 5u = 5(u + -3) + 2u
(6 + 9u) + 5u = 5(u + -3) + 2u

Combine like terms: 9u + 5u = 14u
6 + 14u = 5(u + -3) + 2u

Reorder the terms:
6 + 14u = 5(-3 + u) + 2u
6 + 14u = (-3 * 5 + u * 5) + 2u
6 + 14u = (-15 + 5u) + 2u

Combine like terms: 5u + 2u = 7u
6 + 14u = -15 + 7u

Solving
6 + 14u = -15 + 7u

Solving for variable 'u'.

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

Add '-7u' to each side of the equation.
6 + 14u + -7u = -15 + 7u + -7u

Combine like terms: 14u + -7u = 7u
6 + 7u = -15 + 7u + -7u

Combine like terms: 7u + -7u = 0
6 + 7u = -15 + 0
6 + 7u = -15

Add '-6' to each side of the equation.
6 + -6 + 7u = -15 + -6

Combine like terms: 6 + -6 = 0
0 + 7u = -15 + -6
7u = -15 + -6

Combine like terms: -15 + -6 = -21
7u = -21

Divide each side by '7'.
u = -3

Simplifying
u = -3

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