-4(n-10)=2(2n+12)

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Solution for -4(n-10)=2(2n+12) equation: 


Simplifying
-4(n + -10) = 2(2n + 12)

Reorder the terms:
-4(-10 + n) = 2(2n + 12)
(-10 * -4 + n * -4) = 2(2n + 12)
(40 + -4n) = 2(2n + 12)

Reorder the terms:
40 + -4n = 2(12 + 2n)
40 + -4n = (12 * 2 + 2n * 2)
40 + -4n = (24 + 4n)

Solving
40 + -4n = 24 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
40 + -4n + -4n = 24 + 4n + -4n

Combine like terms: -4n + -4n = -8n
40 + -8n = 24 + 4n + -4n

Combine like terms: 4n + -4n = 0
40 + -8n = 24 + 0
40 + -8n = 24

Add '-40' to each side of the equation.
40 + -40 + -8n = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -8n = 24 + -40
-8n = 24 + -40

Combine like terms: 24 + -40 = -16
-8n = -16

Divide each side by '-8'.
n = 2

Simplifying
n = 2

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