5n-9=2(6+n)

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Solution for 5n-9=2(6+n) equation:


Simplifying
5n + -9 = 2(6 + n)

Reorder the terms:
-9 + 5n = 2(6 + n)
-9 + 5n = (6 * 2 + n * 2)
-9 + 5n = (12 + 2n)

Solving
-9 + 5n = 12 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-9 + 5n + -2n = 12 + 2n + -2n

Combine like terms: 5n + -2n = 3n
-9 + 3n = 12 + 2n + -2n

Combine like terms: 2n + -2n = 0
-9 + 3n = 12 + 0
-9 + 3n = 12

Add '9' to each side of the equation.
-9 + 9 + 3n = 12 + 9

Combine like terms: -9 + 9 = 0
0 + 3n = 12 + 9
3n = 12 + 9

Combine like terms: 12 + 9 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7

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