2(n+4)=3(n+4)+6

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Solution for 2(n+4)=3(n+4)+6 equation: 


Simplifying
2(n + 4) = 3(n + 4) + 6

Reorder the terms:
2(4 + n) = 3(n + 4) + 6
(4 * 2 + n * 2) = 3(n + 4) + 6
(8 + 2n) = 3(n + 4) + 6

Reorder the terms:
8 + 2n = 3(4 + n) + 6
8 + 2n = (4 * 3 + n * 3) + 6
8 + 2n = (12 + 3n) + 6

Reorder the terms:
8 + 2n = 12 + 6 + 3n

Combine like terms: 12 + 6 = 18
8 + 2n = 18 + 3n

Solving
8 + 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.
8 + 2n + -3n = 18 + 3n + -3n

Combine like terms: 2n + -3n = -1n
8 + -1n = 18 + 3n + -3n

Combine like terms: 3n + -3n = 0
8 + -1n = 18 + 0
8 + -1n = 18

Add '-8' to each side of the equation.
8 + -8 + -1n = 18 + -8

Combine like terms: 8 + -8 = 0
0 + -1n = 18 + -8
-1n = 18 + -8

Combine like terms: 18 + -8 = 10
-1n = 10

Divide each side by '-1'.
n = -10

Simplifying
n = -10

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