5(u+3)=-3(5u-9)+5u

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Solution for 5(u+3)=-3(5u-9)+5u equation: 


Simplifying
5(u + 3) = -3(5u + -9) + 5u

Reorder the terms:
5(3 + u) = -3(5u + -9) + 5u
(3 * 5 + u * 5) = -3(5u + -9) + 5u
(15 + 5u) = -3(5u + -9) + 5u

Reorder the terms:
15 + 5u = -3(-9 + 5u) + 5u
15 + 5u = (-9 * -3 + 5u * -3) + 5u
15 + 5u = (27 + -15u) + 5u

Combine like terms: -15u + 5u = -10u
15 + 5u = 27 + -10u

Solving
15 + 5u = 27 + -10u

Solving for variable 'u'.

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

Add '10u' to each side of the equation.
15 + 5u + 10u = 27 + -10u + 10u

Combine like terms: 5u + 10u = 15u
15 + 15u = 27 + -10u + 10u

Combine like terms: -10u + 10u = 0
15 + 15u = 27 + 0
15 + 15u = 27

Add '-15' to each side of the equation.
15 + -15 + 15u = 27 + -15

Combine like terms: 15 + -15 = 0
0 + 15u = 27 + -15
15u = 27 + -15

Combine like terms: 27 + -15 = 12
15u = 12

Divide each side by '15'.
u = 0.8

Simplifying
u = 0.8

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