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

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


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

Reorder the terms:
-6(-4 + 2u) + 5u = 5(u + 2)
(-4 * -6 + 2u * -6) + 5u = 5(u + 2)
(24 + -12u) + 5u = 5(u + 2)

Combine like terms: -12u + 5u = -7u
24 + -7u = 5(u + 2)

Reorder the terms:
24 + -7u = 5(2 + u)
24 + -7u = (2 * 5 + u * 5)
24 + -7u = (10 + 5u)

Solving
24 + -7u = 10 + 5u

Solving for variable 'u'.

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

Add '-5u' to each side of the equation.
24 + -7u + -5u = 10 + 5u + -5u

Combine like terms: -7u + -5u = -12u
24 + -12u = 10 + 5u + -5u

Combine like terms: 5u + -5u = 0
24 + -12u = 10 + 0
24 + -12u = 10

Add '-24' to each side of the equation.
24 + -24 + -12u = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -12u = 10 + -24
-12u = 10 + -24

Combine like terms: 10 + -24 = -14
-12u = -14

Divide each side by '-12'.
u = 1.166666667

Simplifying
u = 1.166666667

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