5(n-3)=3(n+5)

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Solution for 5(n-3)=3(n+5) equation:


Simplifying
5(n + -3) = 3(n + 5)

Reorder the terms:
5(-3 + n) = 3(n + 5)
(-3 * 5 + n * 5) = 3(n + 5)
(-15 + 5n) = 3(n + 5)

Reorder the terms:
-15 + 5n = 3(5 + n)
-15 + 5n = (5 * 3 + n * 3)
-15 + 5n = (15 + 3n)

Solving
-15 + 5n = 15 + 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.
-15 + 5n + -3n = 15 + 3n + -3n

Combine like terms: 5n + -3n = 2n
-15 + 2n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0
-15 + 2n = 15 + 0
-15 + 2n = 15

Add '15' to each side of the equation.
-15 + 15 + 2n = 15 + 15

Combine like terms: -15 + 15 = 0
0 + 2n = 15 + 15
2n = 15 + 15

Combine like terms: 15 + 15 = 30
2n = 30

Divide each side by '2'.
n = 15

Simplifying
n = 15

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