6x-8=12x+24

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Solution for 6x-8=12x+24 equation:


Simplifying
6x + -8 = 12x + 24

Reorder the terms:
-8 + 6x = 12x + 24

Reorder the terms:
-8 + 6x = 24 + 12x

Solving
-8 + 6x = 24 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-8 + 6x + -12x = 24 + 12x + -12x

Combine like terms: 6x + -12x = -6x
-8 + -6x = 24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -6x = 24 + 0
-8 + -6x = 24

Add '8' to each side of the equation.
-8 + 8 + -6x = 24 + 8

Combine like terms: -8 + 8 = 0
0 + -6x = 24 + 8
-6x = 24 + 8

Combine like terms: 24 + 8 = 32
-6x = 32

Divide each side by '-6'.
x = -5.333333333

Simplifying
x = -5.333333333

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