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

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


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

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

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

Combine like terms: 6 + 5 = 11
11 + 3n = 6(n + 4) + n

Reorder the terms:
11 + 3n = 6(4 + n) + n
11 + 3n = (4 * 6 + n * 6) + n
11 + 3n = (24 + 6n) + n

Combine like terms: 6n + n = 7n
11 + 3n = 24 + 7n

Solving
11 + 3n = 24 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
11 + 3n + -7n = 24 + 7n + -7n

Combine like terms: 3n + -7n = -4n
11 + -4n = 24 + 7n + -7n

Combine like terms: 7n + -7n = 0
11 + -4n = 24 + 0
11 + -4n = 24

Add '-11' to each side of the equation.
11 + -11 + -4n = 24 + -11

Combine like terms: 11 + -11 = 0
0 + -4n = 24 + -11
-4n = 24 + -11

Combine like terms: 24 + -11 = 13
-4n = 13

Divide each side by '-4'.
n = -3.25

Simplifying
n = -3.25

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