3(2x+6)=5n-12-n

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Solution for 3(2x+6)=5n-12-n equation:


Simplifying
3(2x + 6) = 5n + -12 + -1n

Reorder the terms:
3(6 + 2x) = 5n + -12 + -1n
(6 * 3 + 2x * 3) = 5n + -12 + -1n
(18 + 6x) = 5n + -12 + -1n

Reorder the terms:
18 + 6x = -12 + 5n + -1n

Combine like terms: 5n + -1n = 4n
18 + 6x = -12 + 4n

Solving
18 + 6x = -12 + 4n

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 6x = -12 + -18 + 4n

Combine like terms: 18 + -18 = 0
0 + 6x = -12 + -18 + 4n
6x = -12 + -18 + 4n

Combine like terms: -12 + -18 = -30
6x = -30 + 4n

Divide each side by '6'.
x = -5 + 0.6666666667n

Simplifying
x = -5 + 0.6666666667n

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