20(-13x+24)=25(x-5)

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Solution for 20(-13x+24)=25(x-5) equation: 


Simplifying
20(-13x + 24) = 25(x + -5)

Reorder the terms:
20(24 + -13x) = 25(x + -5)
(24 * 20 + -13x * 20) = 25(x + -5)
(480 + -260x) = 25(x + -5)

Reorder the terms:
480 + -260x = 25(-5 + x)
480 + -260x = (-5 * 25 + x * 25)
480 + -260x = (-125 + 25x)

Solving
480 + -260x = -125 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
480 + -260x + -25x = -125 + 25x + -25x

Combine like terms: -260x + -25x = -285x
480 + -285x = -125 + 25x + -25x

Combine like terms: 25x + -25x = 0
480 + -285x = -125 + 0
480 + -285x = -125

Add '-480' to each side of the equation.
480 + -480 + -285x = -125 + -480

Combine like terms: 480 + -480 = 0
0 + -285x = -125 + -480
-285x = -125 + -480

Combine like terms: -125 + -480 = -605
-285x = -605

Divide each side by '-285'.
x = 2.122807018

Simplifying
x = 2.122807018

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