6x-8x+24=-8x+6(3x-4)

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Solution for 6x-8x+24=-8x+6(3x-4) equation:


Simplifying
6x + -8x + 24 = -8x + 6(3x + -4)

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

Combine like terms: 6x + -8x = -2x
24 + -2x = -8x + 6(3x + -4)

Reorder the terms:
24 + -2x = -8x + 6(-4 + 3x)
24 + -2x = -8x + (-4 * 6 + 3x * 6)
24 + -2x = -8x + (-24 + 18x)

Reorder the terms:
24 + -2x = -24 + -8x + 18x

Combine like terms: -8x + 18x = 10x
24 + -2x = -24 + 10x

Solving
24 + -2x = -24 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
24 + -2x + -10x = -24 + 10x + -10x

Combine like terms: -2x + -10x = -12x
24 + -12x = -24 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -12x = -24 + 0
24 + -12x = -24

Add '-24' to each side of the equation.
24 + -24 + -12x = -24 + -24

Combine like terms: 24 + -24 = 0
0 + -12x = -24 + -24
-12x = -24 + -24

Combine like terms: -24 + -24 = -48
-12x = -48

Divide each side by '-12'.
x = 4

Simplifying
x = 4

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