0.2(600-2.4x)=3.7(3x-3000)

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Solution for 0.2(600-2.4x)=3.7(3x-3000) equation: 


Simplifying
0.2(600 + -2.4x) = 3.7(3x + -3000)
(600 * 0.2 + -2.4x * 0.2) = 3.7(3x + -3000)
(120 + -0.48x) = 3.7(3x + -3000)

Reorder the terms:
120 + -0.48x = 3.7(-3000 + 3x)
120 + -0.48x = (-3000 * 3.7 + 3x * 3.7)
120 + -0.48x = (-11100 + 11.1x)

Solving
120 + -0.48x = -11100 + 11.1x

Solving for variable 'x'.

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

Add '-11.1x' to each side of the equation.
120 + -0.48x + -11.1x = -11100 + 11.1x + -11.1x

Combine like terms: -0.48x + -11.1x = -11.58x
120 + -11.58x = -11100 + 11.1x + -11.1x

Combine like terms: 11.1x + -11.1x = 0.0
120 + -11.58x = -11100 + 0.0
120 + -11.58x = -11100

Add '-120' to each side of the equation.
120 + -120 + -11.58x = -11100 + -120

Combine like terms: 120 + -120 = 0
0 + -11.58x = -11100 + -120
-11.58x = -11100 + -120

Combine like terms: -11100 + -120 = -11220
-11.58x = -11220

Divide each side by '-11.58'.
x = 968.9119171

Simplifying
x = 968.9119171

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