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

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


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

Reorder the terms:
5(2 + u) + u = 3(u + -1) + 1
(2 * 5 + u * 5) + u = 3(u + -1) + 1
(10 + 5u) + u = 3(u + -1) + 1

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

Reorder the terms:
10 + 6u = 3(-1 + u) + 1
10 + 6u = (-1 * 3 + u * 3) + 1
10 + 6u = (-3 + 3u) + 1

Reorder the terms:
10 + 6u = -3 + 1 + 3u

Combine like terms: -3 + 1 = -2
10 + 6u = -2 + 3u

Solving
10 + 6u = -2 + 3u

Solving for variable 'u'.

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

Add '-3u' to each side of the equation.
10 + 6u + -3u = -2 + 3u + -3u

Combine like terms: 6u + -3u = 3u
10 + 3u = -2 + 3u + -3u

Combine like terms: 3u + -3u = 0
10 + 3u = -2 + 0
10 + 3u = -2

Add '-10' to each side of the equation.
10 + -10 + 3u = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 3u = -2 + -10
3u = -2 + -10

Combine like terms: -2 + -10 = -12
3u = -12

Divide each side by '3'.
u = -4

Simplifying
u = -4

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