2n+3n+5=10n+10

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Solution for 2n+3n+5=10n+10 equation:


Simplifying
2n + 3n + 5 = 10n + 10

Reorder the terms:
5 + 2n + 3n = 10n + 10

Combine like terms: 2n + 3n = 5n
5 + 5n = 10n + 10

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

Solving
5 + 5n = 10 + 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 = 10 + 10n + -10n

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

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

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

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

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

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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