6(n+4)=5(x-12)+10

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Solution for 6(n+4)=5(x-12)+10 equation: 


Simplifying
6(n + 4) = 5(x + -12) + 10

Reorder the terms:
6(4 + n) = 5(x + -12) + 10
(4 * 6 + n * 6) = 5(x + -12) + 10
(24 + 6n) = 5(x + -12) + 10

Reorder the terms:
24 + 6n = 5(-12 + x) + 10
24 + 6n = (-12 * 5 + x * 5) + 10
24 + 6n = (-60 + 5x) + 10

Reorder the terms:
24 + 6n = -60 + 10 + 5x

Combine like terms: -60 + 10 = -50
24 + 6n = -50 + 5x

Solving
24 + 6n = -50 + 5x

Solving for variable 'n'.

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

Add '-24' to each side of the equation.
24 + -24 + 6n = -50 + -24 + 5x

Combine like terms: 24 + -24 = 0
0 + 6n = -50 + -24 + 5x
6n = -50 + -24 + 5x

Combine like terms: -50 + -24 = -74
6n = -74 + 5x

Divide each side by '6'.
n = -12.33333333 + 0.8333333333x

Simplifying
n = -12.33333333 + 0.8333333333x

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