0.2(500-2.4x)=3.7(2x-5000)

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Solution for 0.2(500-2.4x)=3.7(2x-5000) equation: 


Simplifying
0.2(500 + -2.4x) = 3.7(2x + -5000)
(500 * 0.2 + -2.4x * 0.2) = 3.7(2x + -5000)
(100 + -0.48x) = 3.7(2x + -5000)

Reorder the terms:
100 + -0.48x = 3.7(-5000 + 2x)
100 + -0.48x = (-5000 * 3.7 + 2x * 3.7)
100 + -0.48x = (-18500 + 7.4x)

Solving
100 + -0.48x = -18500 + 7.4x

Solving for variable 'x'.

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

Add '-7.4x' to each side of the equation.
100 + -0.48x + -7.4x = -18500 + 7.4x + -7.4x

Combine like terms: -0.48x + -7.4x = -7.88x
100 + -7.88x = -18500 + 7.4x + -7.4x

Combine like terms: 7.4x + -7.4x = 0.0
100 + -7.88x = -18500 + 0.0
100 + -7.88x = -18500

Add '-100' to each side of the equation.
100 + -100 + -7.88x = -18500 + -100

Combine like terms: 100 + -100 = 0
0 + -7.88x = -18500 + -100
-7.88x = -18500 + -100

Combine like terms: -18500 + -100 = -18600
-7.88x = -18600

Divide each side by '-7.88'.
x = 2360.406091

Simplifying
x = 2360.406091

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