12+2(n+5)=3(n+6)

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Solution for 12+2(n+5)=3(n+6) equation: 


Simplifying
12 + 2(n + 5) = 3(n + 6)

Reorder the terms:
12 + 2(5 + n) = 3(n + 6)
12 + (5 * 2 + n * 2) = 3(n + 6)
12 + (10 + 2n) = 3(n + 6)

Combine like terms: 12 + 10 = 22
22 + 2n = 3(n + 6)

Reorder the terms:
22 + 2n = 3(6 + n)
22 + 2n = (6 * 3 + n * 3)
22 + 2n = (18 + 3n)

Solving
22 + 2n = 18 + 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.
22 + 2n + -3n = 18 + 3n + -3n

Combine like terms: 2n + -3n = -1n
22 + -1n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
22 + -1n = 18 + 0
22 + -1n = 18

Add '-22' to each side of the equation.
22 + -22 + -1n = 18 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 18 + -22
-1n = 18 + -22

Combine like terms: 18 + -22 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4

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