5n+2=2n-10

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


Simplifying
5n + 2 = 2n + -10

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

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

Solving
2 + 5n = -10 + 2n

Solving for variable 'n'.

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

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

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

Combine like terms: 2n + -2n = 0
2 + 3n = -10 + 0
2 + 3n = -10

Add '-2' to each side of the equation.
2 + -2 + 3n = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = -10 + -2
3n = -10 + -2

Combine like terms: -10 + -2 = -12
3n = -12

Divide each side by '3'.
n = -4

Simplifying
n = -4

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