0.2(600-2.4x)=3.6(4x-5000)

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Solution for 0.2(600-2.4x)=3.6(4x-5000) equation: 


Simplifying
0.2(600 + -2.4x) = 3.6(4x + -5000)
(600 * 0.2 + -2.4x * 0.2) = 3.6(4x + -5000)
(120 + -0.48x) = 3.6(4x + -5000)

Reorder the terms:
120 + -0.48x = 3.6(-5000 + 4x)
120 + -0.48x = (-5000 * 3.6 + 4x * 3.6)
120 + -0.48x = (-18000 + 14.4x)

Solving
120 + -0.48x = -18000 + 14.4x

Solving for variable 'x'.

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

Add '-14.4x' to each side of the equation.
120 + -0.48x + -14.4x = -18000 + 14.4x + -14.4x

Combine like terms: -0.48x + -14.4x = -14.88x
120 + -14.88x = -18000 + 14.4x + -14.4x

Combine like terms: 14.4x + -14.4x = 0.0
120 + -14.88x = -18000 + 0.0
120 + -14.88x = -18000

Add '-120' to each side of the equation.
120 + -120 + -14.88x = -18000 + -120

Combine like terms: 120 + -120 = 0
0 + -14.88x = -18000 + -120
-14.88x = -18000 + -120

Combine like terms: -18000 + -120 = -18120
-14.88x = -18120

Divide each side by '-14.88'.
x = 1217.741935

Simplifying
x = 1217.741935

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