3(u+5)=-3(5u-7)+4u

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Solution for 3(u+5)=-3(5u-7)+4u equation:


Simplifying
3(u + 5) = -3(5u + -7) + 4u

Reorder the terms:
3(5 + u) = -3(5u + -7) + 4u
(5 * 3 + u * 3) = -3(5u + -7) + 4u
(15 + 3u) = -3(5u + -7) + 4u

Reorder the terms:
15 + 3u = -3(-7 + 5u) + 4u
15 + 3u = (-7 * -3 + 5u * -3) + 4u
15 + 3u = (21 + -15u) + 4u

Combine like terms: -15u + 4u = -11u
15 + 3u = 21 + -11u

Solving
15 + 3u = 21 + -11u

Solving for variable 'u'.

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

Add '11u' to each side of the equation.
15 + 3u + 11u = 21 + -11u + 11u

Combine like terms: 3u + 11u = 14u
15 + 14u = 21 + -11u + 11u

Combine like terms: -11u + 11u = 0
15 + 14u = 21 + 0
15 + 14u = 21

Add '-15' to each side of the equation.
15 + -15 + 14u = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 14u = 21 + -15
14u = 21 + -15

Combine like terms: 21 + -15 = 6
14u = 6

Divide each side by '14'.
u = 0.4285714286

Simplifying
u = 0.4285714286

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