2x-5=8x-24

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Solution for 2x-5=8x-24 equation:


Simplifying
2x + -5 = 8x + -24

Reorder the terms:
-5 + 2x = 8x + -24

Reorder the terms:
-5 + 2x = -24 + 8x

Solving
-5 + 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.
-5 + 2x + -8x = -24 + 8x + -8x

Combine like terms: 2x + -8x = -6x
-5 + -6x = -24 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -6x = -24 + 0
-5 + -6x = -24

Add '5' to each side of the equation.
-5 + 5 + -6x = -24 + 5

Combine like terms: -5 + 5 = 0
0 + -6x = -24 + 5
-6x = -24 + 5

Combine like terms: -24 + 5 = -19
-6x = -19

Divide each side by '-6'.
x = 3.166666667

Simplifying
x = 3.166666667

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