5n+7=2n-5

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Solution for 5n+7=2n-5 equation:


Simplifying
5n + 7 = 2n + -5

Reorder the terms:
7 + 5n = 2n + -5

Reorder the terms:
7 + 5n = -5 + 2n

Solving
7 + 5n = -5 + 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.
7 + 5n + -2n = -5 + 2n + -2n

Combine like terms: 5n + -2n = 3n
7 + 3n = -5 + 2n + -2n

Combine like terms: 2n + -2n = 0
7 + 3n = -5 + 0
7 + 3n = -5

Add '-7' to each side of the equation.
7 + -7 + 3n = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 3n = -5 + -7
3n = -5 + -7

Combine like terms: -5 + -7 = -12
3n = -12

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

Simplifying
n = -4

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