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

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


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

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

Remove parenthesis around (-6 + 3x)
-6 + 3x + (8x + -24) = (6x + -24) + (8x + 8)

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

Remove parenthesis around (-24 + 8x)
-6 + 3x + -24 + 8x = (6x + -24) + (8x + 8)

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

Combine like terms: -6 + -24 = -30
-30 + 3x + 8x = (6x + -24) + (8x + 8)

Combine like terms: 3x + 8x = 11x
-30 + 11x = (6x + -24) + (8x + 8)

Reorder the terms:
-30 + 11x = (-24 + 6x) + (8x + 8)

Remove parenthesis around (-24 + 6x)
-30 + 11x = -24 + 6x + (8x + 8)

Reorder the terms:
-30 + 11x = -24 + 6x + (8 + 8x)

Remove parenthesis around (8 + 8x)
-30 + 11x = -24 + 6x + 8 + 8x

Reorder the terms:
-30 + 11x = -24 + 8 + 6x + 8x

Combine like terms: -24 + 8 = -16
-30 + 11x = -16 + 6x + 8x

Combine like terms: 6x + 8x = 14x
-30 + 11x = -16 + 14x

Solving
-30 + 11x = -16 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-30 + 11x + -14x = -16 + 14x + -14x

Combine like terms: 11x + -14x = -3x
-30 + -3x = -16 + 14x + -14x

Combine like terms: 14x + -14x = 0
-30 + -3x = -16 + 0
-30 + -3x = -16

Add '30' to each side of the equation.
-30 + 30 + -3x = -16 + 30

Combine like terms: -30 + 30 = 0
0 + -3x = -16 + 30
-3x = -16 + 30

Combine like terms: -16 + 30 = 14
-3x = 14

Divide each side by '-3'.
x = -4.666666667

Simplifying
x = -4.666666667

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