2(3x-4)-x=3x-24

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Solution for 2(3x-4)-x=3x-24 equation:


Simplifying
2(3x + -4) + -1x = 3x + -24

Reorder the terms:
2(-4 + 3x) + -1x = 3x + -24
(-4 * 2 + 3x * 2) + -1x = 3x + -24
(-8 + 6x) + -1x = 3x + -24

Combine like terms: 6x + -1x = 5x
-8 + 5x = 3x + -24

Reorder the terms:
-8 + 5x = -24 + 3x

Solving
-8 + 5x = -24 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-8 + 5x + -3x = -24 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = -24 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x = -24 + 0
-8 + 2x = -24

Add '8' to each side of the equation.
-8 + 8 + 2x = -24 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = -24 + 8
2x = -24 + 8

Combine like terms: -24 + 8 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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