3(n-5)=2(n+5)

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Solution for 3(n-5)=2(n+5) equation:


Simplifying
3(n + -5) = 2(n + 5)

Reorder the terms:
3(-5 + n) = 2(n + 5)
(-5 * 3 + n * 3) = 2(n + 5)
(-15 + 3n) = 2(n + 5)

Reorder the terms:
-15 + 3n = 2(5 + n)
-15 + 3n = (5 * 2 + n * 2)
-15 + 3n = (10 + 2n)

Solving
-15 + 3n = 10 + 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.
-15 + 3n + -2n = 10 + 2n + -2n

Combine like terms: 3n + -2n = 1n
-15 + 1n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 1n = 10 + 0
-15 + 1n = 10

Add '15' to each side of the equation.
-15 + 15 + 1n = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 1n = 10 + 15
1n = 10 + 15

Combine like terms: 10 + 15 = 25
1n = 25

Divide each side by '1'.
n = 25

Simplifying
n = 25

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