2n+22=5n+10

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Solution for 2n+22=5n+10 equation: 


Simplifying
2n + 22 = 5n + 10

Reorder the terms:
22 + 2n = 5n + 10

Reorder the terms:
22 + 2n = 10 + 5n

Solving
22 + 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.
22 + 2n + -5n = 10 + 5n + -5n

Combine like terms: 2n + -5n = -3n
22 + -3n = 10 + 5n + -5n

Combine like terms: 5n + -5n = 0
22 + -3n = 10 + 0
22 + -3n = 10

Add '-22' to each side of the equation.
22 + -22 + -3n = 10 + -22

Combine like terms: 22 + -22 = 0
0 + -3n = 10 + -22
-3n = 10 + -22

Combine like terms: 10 + -22 = -12
-3n = -12

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

Simplifying
n = 4

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