2n+5=3n-1

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Solution for 2n+5=3n-1 equation:


Simplifying
2n + 5 = 3n + -1

Reorder the terms:
5 + 2n = 3n + -1

Reorder the terms:
5 + 2n = -1 + 3n

Solving
5 + 2n = -1 + 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.
5 + 2n + -3n = -1 + 3n + -3n

Combine like terms: 2n + -3n = -1n
5 + -1n = -1 + 3n + -3n

Combine like terms: 3n + -3n = 0
5 + -1n = -1 + 0
5 + -1n = -1

Add '-5' to each side of the equation.
5 + -5 + -1n = -1 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = -1 + -5
-1n = -1 + -5

Combine like terms: -1 + -5 = -6
-1n = -6

Divide each side by '-1'.
n = 6

Simplifying
n = 6

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