0.3(500-2.2x)=3.8(2x-5000)

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Solution for 0.3(500-2.2x)=3.8(2x-5000) equation: 


Simplifying
0.3(500 + -2.2x) = 3.8(2x + -5000)
(500 * 0.3 + -2.2x * 0.3) = 3.8(2x + -5000)
(150 + -0.66x) = 3.8(2x + -5000)

Reorder the terms:
150 + -0.66x = 3.8(-5000 + 2x)
150 + -0.66x = (-5000 * 3.8 + 2x * 3.8)
150 + -0.66x = (-19000 + 7.6x)

Solving
150 + -0.66x = -19000 + 7.6x

Solving for variable 'x'.

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

Add '-7.6x' to each side of the equation.
150 + -0.66x + -7.6x = -19000 + 7.6x + -7.6x

Combine like terms: -0.66x + -7.6x = -8.26x
150 + -8.26x = -19000 + 7.6x + -7.6x

Combine like terms: 7.6x + -7.6x = 0.0
150 + -8.26x = -19000 + 0.0
150 + -8.26x = -19000

Add '-150' to each side of the equation.
150 + -150 + -8.26x = -19000 + -150

Combine like terms: 150 + -150 = 0
0 + -8.26x = -19000 + -150
-8.26x = -19000 + -150

Combine like terms: -19000 + -150 = -19150
-8.26x = -19150

Divide each side by '-8.26'.
x = 2318.401937

Simplifying
x = 2318.401937

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