5n+3=3n-7

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Solution for 5n+3=3n-7 equation:


Simplifying
5n + 3 = 3n + -7

Reorder the terms:
3 + 5n = 3n + -7

Reorder the terms:
3 + 5n = -7 + 3n

Solving
3 + 5n = -7 + 3n

Solving for variable 'n'.

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

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

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

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

Add '-3' to each side of the equation.
3 + -3 + 2n = -7 + -3

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

Combine like terms: -7 + -3 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5

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