3(2n+5)=3(n+7)

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Solution for 3(2n+5)=3(n+7) equation: 


Simplifying
3(2n + 5) = 3(n + 7)

Reorder the terms:
3(5 + 2n) = 3(n + 7)
(5 * 3 + 2n * 3) = 3(n + 7)
(15 + 6n) = 3(n + 7)

Reorder the terms:
15 + 6n = 3(7 + n)
15 + 6n = (7 * 3 + n * 3)
15 + 6n = (21 + 3n)

Solving
15 + 6n = 21 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
15 + 6n + -3n = 21 + 3n + -3n

Combine like terms: 6n + -3n = 3n
15 + 3n = 21 + 3n + -3n

Combine like terms: 3n + -3n = 0
15 + 3n = 21 + 0
15 + 3n = 21

Add '-15' to each side of the equation.
15 + -15 + 3n = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 3n = 21 + -15
3n = 21 + -15

Combine like terms: 21 + -15 = 6
3n = 6

Divide each side by '3'.
n = 2

Simplifying
n = 2

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