3n-5=7n-13

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Solution for 3n-5=7n-13 equation:


Simplifying
3n + -5 = 7n + -13

Reorder the terms:
-5 + 3n = 7n + -13

Reorder the terms:
-5 + 3n = -13 + 7n

Solving
-5 + 3n = -13 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
-5 + 3n + -7n = -13 + 7n + -7n

Combine like terms: 3n + -7n = -4n
-5 + -4n = -13 + 7n + -7n

Combine like terms: 7n + -7n = 0
-5 + -4n = -13 + 0
-5 + -4n = -13

Add '5' to each side of the equation.
-5 + 5 + -4n = -13 + 5

Combine like terms: -5 + 5 = 0
0 + -4n = -13 + 5
-4n = -13 + 5

Combine like terms: -13 + 5 = -8
-4n = -8

Divide each side by '-4'.
n = 2

Simplifying
n = 2

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