2n+56=5n-10

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Solution for 2n+56=5n-10 equation:


Simplifying
2n + 56 = 5n + -10

Reorder the terms:
56 + 2n = 5n + -10

Reorder the terms:
56 + 2n = -10 + 5n

Solving
56 + 2n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
56 + 2n + -5n = -10 + 5n + -5n

Combine like terms: 2n + -5n = -3n
56 + -3n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
56 + -3n = -10 + 0
56 + -3n = -10

Add '-56' to each side of the equation.
56 + -56 + -3n = -10 + -56

Combine like terms: 56 + -56 = 0
0 + -3n = -10 + -56
-3n = -10 + -56

Combine like terms: -10 + -56 = -66
-3n = -66

Divide each side by '-3'.
n = 22

Simplifying
n = 22

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