3(u+2)+4=5(u-1)+u

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Solution for 3(u+2)+4=5(u-1)+u equation: 


Simplifying
3(u + 2) + 4 = 5(u + -1) + u

Reorder the terms:
3(2 + u) + 4 = 5(u + -1) + u
(2 * 3 + u * 3) + 4 = 5(u + -1) + u
(6 + 3u) + 4 = 5(u + -1) + u

Reorder the terms:
6 + 4 + 3u = 5(u + -1) + u

Combine like terms: 6 + 4 = 10
10 + 3u = 5(u + -1) + u

Reorder the terms:
10 + 3u = 5(-1 + u) + u
10 + 3u = (-1 * 5 + u * 5) + u
10 + 3u = (-5 + 5u) + u

Combine like terms: 5u + u = 6u
10 + 3u = -5 + 6u

Solving
10 + 3u = -5 + 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.
10 + 3u + -6u = -5 + 6u + -6u

Combine like terms: 3u + -6u = -3u
10 + -3u = -5 + 6u + -6u

Combine like terms: 6u + -6u = 0
10 + -3u = -5 + 0
10 + -3u = -5

Add '-10' to each side of the equation.
10 + -10 + -3u = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -3u = -5 + -10
-3u = -5 + -10

Combine like terms: -5 + -10 = -15
-3u = -15

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

Simplifying
u = 5

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