5n+22=7n-12

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Solution for 5n+22=7n-12 equation:


Simplifying
5n + 22 = 7n + -12

Reorder the terms:
22 + 5n = 7n + -12

Reorder the terms:
22 + 5n = -12 + 7n

Solving
22 + 5n = -12 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
22 + 5n + -7n = -12 + 7n + -7n

Combine like terms: 5n + -7n = -2n
22 + -2n = -12 + 7n + -7n

Combine like terms: 7n + -7n = 0
22 + -2n = -12 + 0
22 + -2n = -12

Add '-22' to each side of the equation.
22 + -22 + -2n = -12 + -22

Combine like terms: 22 + -22 = 0
0 + -2n = -12 + -22
-2n = -12 + -22

Combine like terms: -12 + -22 = -34
-2n = -34

Divide each side by '-2'.
n = 17

Simplifying
n = 17

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