2(n+10)=4(n-5)

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Solution for 2(n+10)=4(n-5) equation: 


Simplifying
2(n + 10) = 4(n + -5)

Reorder the terms:
2(10 + n) = 4(n + -5)
(10 * 2 + n * 2) = 4(n + -5)
(20 + 2n) = 4(n + -5)

Reorder the terms:
20 + 2n = 4(-5 + n)
20 + 2n = (-5 * 4 + n * 4)
20 + 2n = (-20 + 4n)

Solving
20 + 2n = -20 + 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.
20 + 2n + -4n = -20 + 4n + -4n

Combine like terms: 2n + -4n = -2n
20 + -2n = -20 + 4n + -4n

Combine like terms: 4n + -4n = 0
20 + -2n = -20 + 0
20 + -2n = -20

Add '-20' to each side of the equation.
20 + -20 + -2n = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -2n = -20 + -20
-2n = -20 + -20

Combine like terms: -20 + -20 = -40
-2n = -40

Divide each side by '-2'.
n = 20

Simplifying
n = 20

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