5n+3=(n+2)-3n

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Solution for 5n+3=(n+2)-3n equation:


Simplifying
5n + 3 = (n + 2) + -3n

Reorder the terms:
3 + 5n = (n + 2) + -3n

Reorder the terms:
3 + 5n = (2 + n) + -3n

Remove parenthesis around (2 + n)
3 + 5n = 2 + n + -3n

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

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

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

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

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

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

Combine like terms: 2 + -3 = -1
7n = -1

Divide each side by '7'.
n = -0.1428571429

Simplifying
n = -0.1428571429

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