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

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


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

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

Reorder the terms:
-15 + 5n = 2(-3 + n)
-15 + 5n = (-3 * 2 + n * 2)
-15 + 5n = (-6 + 2n)

Solving
-15 + 5n = -6 + 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 + 5n + -2n = -6 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-15 + 3n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
-15 + 3n = -6 + 0
-15 + 3n = -6

Add '15' to each side of the equation.
-15 + 15 + 3n = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 3n = -6 + 15
3n = -6 + 15

Combine like terms: -6 + 15 = 9
3n = 9

Divide each side by '3'.
n = 3

Simplifying
n = 3

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