2(x+4)+x=3(4n-2)-22

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Solution for 2(x+4)+x=3(4n-2)-22 equation: 


Simplifying
2(x + 4) + x = 3(4n + -2) + -22

Reorder the terms:
2(4 + x) + x = 3(4n + -2) + -22
(4 * 2 + x * 2) + x = 3(4n + -2) + -22
(8 + 2x) + x = 3(4n + -2) + -22

Combine like terms: 2x + x = 3x
8 + 3x = 3(4n + -2) + -22

Reorder the terms:
8 + 3x = 3(-2 + 4n) + -22
8 + 3x = (-2 * 3 + 4n * 3) + -22
8 + 3x = (-6 + 12n) + -22

Reorder the terms:
8 + 3x = -6 + -22 + 12n

Combine like terms: -6 + -22 = -28
8 + 3x = -28 + 12n

Solving
8 + 3x = -28 + 12n

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 3x = -28 + -8 + 12n

Combine like terms: 8 + -8 = 0
0 + 3x = -28 + -8 + 12n
3x = -28 + -8 + 12n

Combine like terms: -28 + -8 = -36
3x = -36 + 12n

Divide each side by '3'.
x = -12 + 4n

Simplifying
x = -12 + 4n

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