20n+400=10n+100

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Solution for 20n+400=10n+100 equation:


Simplifying
20n + 400 = 10n + 100

Reorder the terms:
400 + 20n = 10n + 100

Reorder the terms:
400 + 20n = 100 + 10n

Solving
400 + 20n = 100 + 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.
400 + 20n + -10n = 100 + 10n + -10n

Combine like terms: 20n + -10n = 10n
400 + 10n = 100 + 10n + -10n

Combine like terms: 10n + -10n = 0
400 + 10n = 100 + 0
400 + 10n = 100

Add '-400' to each side of the equation.
400 + -400 + 10n = 100 + -400

Combine like terms: 400 + -400 = 0
0 + 10n = 100 + -400
10n = 100 + -400

Combine like terms: 100 + -400 = -300
10n = -300

Divide each side by '10'.
n = -30

Simplifying
n = -30

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