5+3(2u-1)=-2(7u-6)+8u

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Solution for 5+3(2u-1)=-2(7u-6)+8u equation:


Simplifying
5 + 3(2u + -1) = -2(7u + -6) + 8u

Reorder the terms:
5 + 3(-1 + 2u) = -2(7u + -6) + 8u
5 + (-1 * 3 + 2u * 3) = -2(7u + -6) + 8u
5 + (-3 + 6u) = -2(7u + -6) + 8u

Combine like terms: 5 + -3 = 2
2 + 6u = -2(7u + -6) + 8u

Reorder the terms:
2 + 6u = -2(-6 + 7u) + 8u
2 + 6u = (-6 * -2 + 7u * -2) + 8u
2 + 6u = (12 + -14u) + 8u

Combine like terms: -14u + 8u = -6u
2 + 6u = 12 + -6u

Solving
2 + 6u = 12 + -6u

Solving for variable 'u'.

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

Add '6u' to each side of the equation.
2 + 6u + 6u = 12 + -6u + 6u

Combine like terms: 6u + 6u = 12u
2 + 12u = 12 + -6u + 6u

Combine like terms: -6u + 6u = 0
2 + 12u = 12 + 0
2 + 12u = 12

Add '-2' to each side of the equation.
2 + -2 + 12u = 12 + -2

Combine like terms: 2 + -2 = 0
0 + 12u = 12 + -2
12u = 12 + -2

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

Divide each side by '12'.
u = 0.8333333333

Simplifying
u = 0.8333333333

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