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

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


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

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

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

Combine like terms: 6 + 5 = 11
11 + 3u = 2(3u + -5)

Reorder the terms:
11 + 3u = 2(-5 + 3u)
11 + 3u = (-5 * 2 + 3u * 2)
11 + 3u = (-10 + 6u)

Solving
11 + 3u = -10 + 6u

Solving for variable 'u'.

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

Add '-6u' to each side of the equation.
11 + 3u + -6u = -10 + 6u + -6u

Combine like terms: 3u + -6u = -3u
11 + -3u = -10 + 6u + -6u

Combine like terms: 6u + -6u = 0
11 + -3u = -10 + 0
11 + -3u = -10

Add '-11' to each side of the equation.
11 + -11 + -3u = -10 + -11

Combine like terms: 11 + -11 = 0
0 + -3u = -10 + -11
-3u = -10 + -11

Combine like terms: -10 + -11 = -21
-3u = -21

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

Simplifying
u = 7

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