2(n+2)+3(n+4)=(6*n)-5

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Solution for 2(n+2)+3(n+4)=(6*n)-5 equation: 


Simplifying
2(n + 2) + 3(n + 4) = (6n) + -5

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

Reorder the terms:
4 + 2n + 3(4 + n) = (6n) + -5
4 + 2n + (4 * 3 + n * 3) = (6n) + -5
4 + 2n + (12 + 3n) = (6n) + -5

Reorder the terms:
4 + 12 + 2n + 3n = (6n) + -5

Combine like terms: 4 + 12 = 16
16 + 2n + 3n = (6n) + -5

Combine like terms: 2n + 3n = 5n
16 + 5n = (6n) + -5

Reorder the terms:
16 + 5n = -5 + (6n)

Solving
16 + 5n = -5 + (6n)

Solving for variable 'n'.

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

Add '(-6n)' to each side of the equation.
16 + 5n + (-6n) = -5 + (6n) + (-6n)

Combine like terms: 5n + (-6n) = -1n
16 + -1n = -5 + (6n) + (-6n)

Combine like terms: (6n) + (-6n) = 0
16 + -1n = -5 + 0
16 + -1n = -5

Add '-16' to each side of the equation.
16 + -16 + -1n = -5 + -16

Combine like terms: 16 + -16 = 0
0 + -1n = -5 + -16
-1n = -5 + -16

Combine like terms: -5 + -16 = -21
-1n = -21

Divide each side by '-1'.
n = 21

Simplifying
n = 21

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