0.6(500-2.4x)=3.6(2x-4000)

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Solution for 0.6(500-2.4x)=3.6(2x-4000) equation: 


Simplifying
0.6(500 + -2.4x) = 3.6(2x + -4000)
(500 * 0.6 + -2.4x * 0.6) = 3.6(2x + -4000)
(300 + -1.44x) = 3.6(2x + -4000)

Reorder the terms:
300 + -1.44x = 3.6(-4000 + 2x)
300 + -1.44x = (-4000 * 3.6 + 2x * 3.6)
300 + -1.44x = (-14400 + 7.2x)

Solving
300 + -1.44x = -14400 + 7.2x

Solving for variable 'x'.

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

Add '-7.2x' to each side of the equation.
300 + -1.44x + -7.2x = -14400 + 7.2x + -7.2x

Combine like terms: -1.44x + -7.2x = -8.64x
300 + -8.64x = -14400 + 7.2x + -7.2x

Combine like terms: 7.2x + -7.2x = 0.0
300 + -8.64x = -14400 + 0.0
300 + -8.64x = -14400

Add '-300' to each side of the equation.
300 + -300 + -8.64x = -14400 + -300

Combine like terms: 300 + -300 = 0
0 + -8.64x = -14400 + -300
-8.64x = -14400 + -300

Combine like terms: -14400 + -300 = -14700
-8.64x = -14700

Divide each side by '-8.64'.
x = 1701.388889

Simplifying
x = 1701.388889

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