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

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


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

Reorder the terms:
3(5 + 2n) = 4(n + 5)
(5 * 3 + 2n * 3) = 4(n + 5)
(15 + 6n) = 4(n + 5)

Reorder the terms:
15 + 6n = 4(5 + n)
15 + 6n = (5 * 4 + n * 4)
15 + 6n = (20 + 4n)

Solving
15 + 6n = 20 + 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 + 6n + -4n = 20 + 4n + -4n

Combine like terms: 6n + -4n = 2n
15 + 2n = 20 + 4n + -4n

Combine like terms: 4n + -4n = 0
15 + 2n = 20 + 0
15 + 2n = 20

Add '-15' to each side of the equation.
15 + -15 + 2n = 20 + -15

Combine like terms: 15 + -15 = 0
0 + 2n = 20 + -15
2n = 20 + -15

Combine like terms: 20 + -15 = 5
2n = 5

Divide each side by '2'.
n = 2.5

Simplifying
n = 2.5

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