5(2n-3)-6n=3(3n+5)

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Solution for 5(2n-3)-6n=3(3n+5) equation:


Simplifying
5(2n + -3) + -6n = 3(3n + 5)

Reorder the terms:
5(-3 + 2n) + -6n = 3(3n + 5)
(-3 * 5 + 2n * 5) + -6n = 3(3n + 5)
(-15 + 10n) + -6n = 3(3n + 5)

Combine like terms: 10n + -6n = 4n
-15 + 4n = 3(3n + 5)

Reorder the terms:
-15 + 4n = 3(5 + 3n)
-15 + 4n = (5 * 3 + 3n * 3)
-15 + 4n = (15 + 9n)

Solving
-15 + 4n = 15 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-15 + 4n + -9n = 15 + 9n + -9n

Combine like terms: 4n + -9n = -5n
-15 + -5n = 15 + 9n + -9n

Combine like terms: 9n + -9n = 0
-15 + -5n = 15 + 0
-15 + -5n = 15

Add '15' to each side of the equation.
-15 + 15 + -5n = 15 + 15

Combine like terms: -15 + 15 = 0
0 + -5n = 15 + 15
-5n = 15 + 15

Combine like terms: 15 + 15 = 30
-5n = 30

Divide each side by '-5'.
n = -6

Simplifying
n = -6

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