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

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


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

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

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

Solving
20 + 2n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
20 + 2n + -5n = -10 + 5n + -5n

Combine like terms: 2n + -5n = -3n
20 + -3n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
20 + -3n = -10 + 0
20 + -3n = -10

Add '-20' to each side of the equation.
20 + -20 + -3n = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -3n = -10 + -20
-3n = -10 + -20

Combine like terms: -10 + -20 = -30
-3n = -30

Divide each side by '-3'.
n = 10

Simplifying
n = 10

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