2x+6=8x-24

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Solution for 2x+6=8x-24 equation:


Simplifying
2x + 6 = 8x + -24

Reorder the terms:
6 + 2x = 8x + -24

Reorder the terms:
6 + 2x = -24 + 8x

Solving
6 + 2x = -24 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 2x + -8x = -24 + 8x + -8x

Combine like terms: 2x + -8x = -6x
6 + -6x = -24 + 8x + -8x

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

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

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

Combine like terms: -24 + -6 = -30
-6x = -30

Divide each side by '-6'.
x = 5

Simplifying
x = 5

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