5(2n-3)=4(n+3)

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Solution for 5(2n-3)=4(n+3) equation:


Simplifying
5(2n + -3) = 4(n + 3)

Reorder the terms:
5(-3 + 2n) = 4(n + 3)
(-3 * 5 + 2n * 5) = 4(n + 3)
(-15 + 10n) = 4(n + 3)

Reorder the terms:
-15 + 10n = 4(3 + n)
-15 + 10n = (3 * 4 + n * 4)
-15 + 10n = (12 + 4n)

Solving
-15 + 10n = 12 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-15 + 10n + -4n = 12 + 4n + -4n

Combine like terms: 10n + -4n = 6n
-15 + 6n = 12 + 4n + -4n

Combine like terms: 4n + -4n = 0
-15 + 6n = 12 + 0
-15 + 6n = 12

Add '15' to each side of the equation.
-15 + 15 + 6n = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 6n = 12 + 15
6n = 12 + 15

Combine like terms: 12 + 15 = 27
6n = 27

Divide each side by '6'.
n = 4.5

Simplifying
n = 4.5

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