5n-2=2n-5

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


Simplifying
5n + -2 = 2n + -5

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

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

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

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

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

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

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

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

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

Simplifying
n = -1

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