5n+2=3n+10

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Solution for 5n+2=3n+10 equation: 


Simplifying
5n + 2 = 3n + 10

Reorder the terms:
2 + 5n = 3n + 10

Reorder the terms:
2 + 5n = 10 + 3n

Solving
2 + 5n = 10 + 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.
2 + 5n + -3n = 10 + 3n + -3n

Combine like terms: 5n + -3n = 2n
2 + 2n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + 2n = 10 + 0
2 + 2n = 10

Add '-2' to each side of the equation.
2 + -2 + 2n = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 2n = 10 + -2
2n = 10 + -2

Combine like terms: 10 + -2 = 8
2n = 8

Divide each side by '2'.
n = 4

Simplifying
n = 4

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