5(x-5)=12x-24

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Solution for 5(x-5)=12x-24 equation:


Simplifying
5(x + -5) = 12x + -24

Reorder the terms:
5(-5 + x) = 12x + -24
(-5 * 5 + x * 5) = 12x + -24
(-25 + 5x) = 12x + -24

Reorder the terms:
-25 + 5x = -24 + 12x

Solving
-25 + 5x = -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.
-25 + 5x + -12x = -24 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-25 + -7x = -24 + 12x + -12x

Combine like terms: 12x + -12x = 0
-25 + -7x = -24 + 0
-25 + -7x = -24

Add '25' to each side of the equation.
-25 + 25 + -7x = -24 + 25

Combine like terms: -25 + 25 = 0
0 + -7x = -24 + 25
-7x = -24 + 25

Combine like terms: -24 + 25 = 1
-7x = 1

Divide each side by '-7'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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