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

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


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

Reorder the terms:
2(7 + n) = 3(n + 5)
(7 * 2 + n * 2) = 3(n + 5)
(14 + 2n) = 3(n + 5)

Reorder the terms:
14 + 2n = 3(5 + n)
14 + 2n = (5 * 3 + n * 3)
14 + 2n = (15 + 3n)

Solving
14 + 2n = 15 + 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.
14 + 2n + -3n = 15 + 3n + -3n

Combine like terms: 2n + -3n = -1n
14 + -1n = 15 + 3n + -3n

Combine like terms: 3n + -3n = 0
14 + -1n = 15 + 0
14 + -1n = 15

Add '-14' to each side of the equation.
14 + -14 + -1n = 15 + -14

Combine like terms: 14 + -14 = 0
0 + -1n = 15 + -14
-1n = 15 + -14

Combine like terms: 15 + -14 = 1
-1n = 1

Divide each side by '-1'.
n = -1

Simplifying
n = -1

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