0.2(400-2.4x)=3.7(4x-5000)

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Solution for 0.2(400-2.4x)=3.7(4x-5000) equation: 


Simplifying
0.2(400 + -2.4x) = 3.7(4x + -5000)
(400 * 0.2 + -2.4x * 0.2) = 3.7(4x + -5000)
(80 + -0.48x) = 3.7(4x + -5000)

Reorder the terms:
80 + -0.48x = 3.7(-5000 + 4x)
80 + -0.48x = (-5000 * 3.7 + 4x * 3.7)
80 + -0.48x = (-18500 + 14.8x)

Solving
80 + -0.48x = -18500 + 14.8x

Solving for variable 'x'.

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

Add '-14.8x' to each side of the equation.
80 + -0.48x + -14.8x = -18500 + 14.8x + -14.8x

Combine like terms: -0.48x + -14.8x = -15.28x
80 + -15.28x = -18500 + 14.8x + -14.8x

Combine like terms: 14.8x + -14.8x = 0.0
80 + -15.28x = -18500 + 0.0
80 + -15.28x = -18500

Add '-80' to each side of the equation.
80 + -80 + -15.28x = -18500 + -80

Combine like terms: 80 + -80 = 0
0 + -15.28x = -18500 + -80
-15.28x = -18500 + -80

Combine like terms: -18500 + -80 = -18580
-15.28x = -18580

Divide each side by '-15.28'.
x = 1215.968586

Simplifying
x = 1215.968586

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