6(n+2)=3(n-1)

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Solution for 6(n+2)=3(n-1) equation:


Simplifying
6(n + 2) = 3(n + -1)

Reorder the terms:
6(2 + n) = 3(n + -1)
(2 * 6 + n * 6) = 3(n + -1)
(12 + 6n) = 3(n + -1)

Reorder the terms:
12 + 6n = 3(-1 + n)
12 + 6n = (-1 * 3 + n * 3)
12 + 6n = (-3 + 3n)

Solving
12 + 6n = -3 + 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.
12 + 6n + -3n = -3 + 3n + -3n

Combine like terms: 6n + -3n = 3n
12 + 3n = -3 + 3n + -3n

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

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

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

Combine like terms: -3 + -12 = -15
3n = -15

Divide each side by '3'.
n = -5

Simplifying
n = -5

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