2(u+5)=-7(2u-1)+u

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Solution for 2(u+5)=-7(2u-1)+u equation: 


Simplifying
2(u + 5) = -7(2u + -1) + u

Reorder the terms:
2(5 + u) = -7(2u + -1) + u
(5 * 2 + u * 2) = -7(2u + -1) + u
(10 + 2u) = -7(2u + -1) + u

Reorder the terms:
10 + 2u = -7(-1 + 2u) + u
10 + 2u = (-1 * -7 + 2u * -7) + u
10 + 2u = (7 + -14u) + u

Combine like terms: -14u + u = -13u
10 + 2u = 7 + -13u

Solving
10 + 2u = 7 + -13u

Solving for variable 'u'.

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

Add '13u' to each side of the equation.
10 + 2u + 13u = 7 + -13u + 13u

Combine like terms: 2u + 13u = 15u
10 + 15u = 7 + -13u + 13u

Combine like terms: -13u + 13u = 0
10 + 15u = 7 + 0
10 + 15u = 7

Add '-10' to each side of the equation.
10 + -10 + 15u = 7 + -10

Combine like terms: 10 + -10 = 0
0 + 15u = 7 + -10
15u = 7 + -10

Combine like terms: 7 + -10 = -3
15u = -3

Divide each side by '15'.
u = -0.2

Simplifying
u = -0.2

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