n*5+(n-1)*5=500

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Solution for n*5+(n-1)*5=500 equation: 


Simplifying
n * 5 + (n + -1) * 5 = 500

Reorder the terms for easier multiplication:
5n + (n + -1) * 5 = 500

Reorder the terms:
5n + (-1 + n) * 5 = 500

Reorder the terms for easier multiplication:
5n + 5(-1 + n) = 500
5n + (-1 * 5 + n * 5) = 500
5n + (-5 + 5n) = 500

Reorder the terms:
-5 + 5n + 5n = 500

Combine like terms: 5n + 5n = 10n
-5 + 10n = 500

Solving
-5 + 10n = 500

Solving for variable 'n'.

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

Add '5' to each side of the equation.
-5 + 5 + 10n = 500 + 5

Combine like terms: -5 + 5 = 0
0 + 10n = 500 + 5
10n = 500 + 5

Combine like terms: 500 + 5 = 505
10n = 505

Divide each side by '10'.
n = 50.5

Simplifying
n = 50.5

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