5n+10=15n-10

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Solution for 5n+10=15n-10 equation:


Simplifying
5n + 10 = 15n + -10

Reorder the terms:
10 + 5n = 15n + -10

Reorder the terms:
10 + 5n = -10 + 15n

Solving
10 + 5n = -10 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
10 + 5n + -15n = -10 + 15n + -15n

Combine like terms: 5n + -15n = -10n
10 + -10n = -10 + 15n + -15n

Combine like terms: 15n + -15n = 0
10 + -10n = -10 + 0
10 + -10n = -10

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

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

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

Divide each side by '-10'.
n = 2

Simplifying
n = 2

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