3n-5=5(n-5)

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


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

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

Reorder the terms:
-5 + 3n = 5(-5 + n)
-5 + 3n = (-5 * 5 + n * 5)
-5 + 3n = (-25 + 5n)

Solving
-5 + 3n = -25 + 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.
-5 + 3n + -5n = -25 + 5n + -5n

Combine like terms: 3n + -5n = -2n
-5 + -2n = -25 + 5n + -5n

Combine like terms: 5n + -5n = 0
-5 + -2n = -25 + 0
-5 + -2n = -25

Add '5' to each side of the equation.
-5 + 5 + -2n = -25 + 5

Combine like terms: -5 + 5 = 0
0 + -2n = -25 + 5
-2n = -25 + 5

Combine like terms: -25 + 5 = -20
-2n = -20

Divide each side by '-2'.
n = 10

Simplifying
n = 10

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