6(u+5)=-4(2u-5)+6u

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Solution for 6(u+5)=-4(2u-5)+6u equation:


Simplifying
6(u + 5) = -4(2u + -5) + 6u

Reorder the terms:
6(5 + u) = -4(2u + -5) + 6u
(5 * 6 + u * 6) = -4(2u + -5) + 6u
(30 + 6u) = -4(2u + -5) + 6u

Reorder the terms:
30 + 6u = -4(-5 + 2u) + 6u
30 + 6u = (-5 * -4 + 2u * -4) + 6u
30 + 6u = (20 + -8u) + 6u

Combine like terms: -8u + 6u = -2u
30 + 6u = 20 + -2u

Solving
30 + 6u = 20 + -2u

Solving for variable 'u'.

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

Add '2u' to each side of the equation.
30 + 6u + 2u = 20 + -2u + 2u

Combine like terms: 6u + 2u = 8u
30 + 8u = 20 + -2u + 2u

Combine like terms: -2u + 2u = 0
30 + 8u = 20 + 0
30 + 8u = 20

Add '-30' to each side of the equation.
30 + -30 + 8u = 20 + -30

Combine like terms: 30 + -30 = 0
0 + 8u = 20 + -30
8u = 20 + -30

Combine like terms: 20 + -30 = -10
8u = -10

Divide each side by '8'.
u = -1.25

Simplifying
u = -1.25

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