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

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


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

Reorder the terms:
5 + 2(-5 + 3u) = -5(2u + -1) + 2u
5 + (-5 * 2 + 3u * 2) = -5(2u + -1) + 2u
5 + (-10 + 6u) = -5(2u + -1) + 2u

Combine like terms: 5 + -10 = -5
-5 + 6u = -5(2u + -1) + 2u

Reorder the terms:
-5 + 6u = -5(-1 + 2u) + 2u
-5 + 6u = (-1 * -5 + 2u * -5) + 2u
-5 + 6u = (5 + -10u) + 2u

Combine like terms: -10u + 2u = -8u
-5 + 6u = 5 + -8u

Solving
-5 + 6u = 5 + -8u

Solving for variable 'u'.

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

Add '8u' to each side of the equation.
-5 + 6u + 8u = 5 + -8u + 8u

Combine like terms: 6u + 8u = 14u
-5 + 14u = 5 + -8u + 8u

Combine like terms: -8u + 8u = 0
-5 + 14u = 5 + 0
-5 + 14u = 5

Add '5' to each side of the equation.
-5 + 5 + 14u = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 14u = 5 + 5
14u = 5 + 5

Combine like terms: 5 + 5 = 10
14u = 10

Divide each side by '14'.
u = 0.7142857143

Simplifying
u = 0.7142857143

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