5n-5=10n-100

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Solution for 5n-5=10n-100 equation:


Simplifying
5n + -5 = 10n + -100

Reorder the terms:
-5 + 5n = 10n + -100

Reorder the terms:
-5 + 5n = -100 + 10n

Solving
-5 + 5n = -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.
-5 + 5n + -10n = -100 + 10n + -10n

Combine like terms: 5n + -10n = -5n
-5 + -5n = -100 + 10n + -10n

Combine like terms: 10n + -10n = 0
-5 + -5n = -100 + 0
-5 + -5n = -100

Add '5' to each side of the equation.
-5 + 5 + -5n = -100 + 5

Combine like terms: -5 + 5 = 0
0 + -5n = -100 + 5
-5n = -100 + 5

Combine like terms: -100 + 5 = -95
-5n = -95

Divide each side by '-5'.
n = 19

Simplifying
n = 19

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