3n-2=5n+3

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


Simplifying
3n + -2 = 5n + 3

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

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

Solving
-2 + 3n = 3 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-2 + 3n + -5n = 3 + 5n + -5n

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

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

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

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

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

Divide each side by '-2'.
n = -2.5

Simplifying
n = -2.5

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