5n+3=2n-9

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Solution for 5n+3=2n-9 equation:


Simplifying
5n + 3 = 2n + -9

Reorder the terms:
3 + 5n = 2n + -9

Reorder the terms:
3 + 5n = -9 + 2n

Solving
3 + 5n = -9 + 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.
3 + 5n + -2n = -9 + 2n + -2n

Combine like terms: 5n + -2n = 3n
3 + 3n = -9 + 2n + -2n

Combine like terms: 2n + -2n = 0
3 + 3n = -9 + 0
3 + 3n = -9

Add '-3' to each side of the equation.
3 + -3 + 3n = -9 + -3

Combine like terms: 3 + -3 = 0
0 + 3n = -9 + -3
3n = -9 + -3

Combine like terms: -9 + -3 = -12
3n = -12

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

Simplifying
n = -4

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