2(6x-2)+x=24-x

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Solution for 2(6x-2)+x=24-x equation:


Simplifying
2(6x + -2) + x = 24 + -1x

Reorder the terms:
2(-2 + 6x) + x = 24 + -1x
(-2 * 2 + 6x * 2) + x = 24 + -1x
(-4 + 12x) + x = 24 + -1x

Combine like terms: 12x + x = 13x
-4 + 13x = 24 + -1x

Solving
-4 + 13x = 24 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-4 + 13x + x = 24 + -1x + x

Combine like terms: 13x + x = 14x
-4 + 14x = 24 + -1x + x

Combine like terms: -1x + x = 0
-4 + 14x = 24 + 0
-4 + 14x = 24

Add '4' to each side of the equation.
-4 + 4 + 14x = 24 + 4

Combine like terms: -4 + 4 = 0
0 + 14x = 24 + 4
14x = 24 + 4

Combine like terms: 24 + 4 = 28
14x = 28

Divide each side by '14'.
x = 2

Simplifying
x = 2

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