5n+1=2n+13

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Solution for 5n+1=2n+13 equation:


Simplifying
5n + 1 = 2n + 13

Reorder the terms:
1 + 5n = 2n + 13

Reorder the terms:
1 + 5n = 13 + 2n

Solving
1 + 5n = 13 + 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.
1 + 5n + -2n = 13 + 2n + -2n

Combine like terms: 5n + -2n = 3n
1 + 3n = 13 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 3n = 13 + 0
1 + 3n = 13

Add '-1' to each side of the equation.
1 + -1 + 3n = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 3n = 13 + -1
3n = 13 + -1

Combine like terms: 13 + -1 = 12
3n = 12

Divide each side by '3'.
n = 4

Simplifying
n = 4

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