5n-20=10(n+2)

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Solution for 5n-20=10(n+2) equation:


Simplifying
5n + -20 = 10(n + 2)

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

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

Solving
-20 + 5n = 20 + 10n

Solving for variable 'n'.

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

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

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

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

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

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

Combine like terms: 20 + 20 = 40
-5n = 40

Divide each side by '-5'.
n = -8

Simplifying
n = -8

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