2n+5=3n+2

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


Simplifying
2n + 5 = 3n + 2

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

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

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

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

Combine like terms: 3n + -3n = 0
5 + -1n = 2 + 0
5 + -1n = 2

Add '-5' to each side of the equation.
5 + -5 + -1n = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -1n = 2 + -5
-1n = 2 + -5

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

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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