3n-1=5n-13

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Solution for 3n-1=5n-13 equation:


Simplifying
3n + -1 = 5n + -13

Reorder the terms:
-1 + 3n = 5n + -13

Reorder the terms:
-1 + 3n = -13 + 5n

Solving
-1 + 3n = -13 + 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.
-1 + 3n + -5n = -13 + 5n + -5n

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

Combine like terms: 5n + -5n = 0
-1 + -2n = -13 + 0
-1 + -2n = -13

Add '1' to each side of the equation.
-1 + 1 + -2n = -13 + 1

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

Combine like terms: -13 + 1 = -12
-2n = -12

Divide each side by '-2'.
n = 6

Simplifying
n = 6

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