0.2(500-2.3x)=3.8(3x-3000)

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Solution for 0.2(500-2.3x)=3.8(3x-3000) equation: 


Simplifying
0.2(500 + -2.3x) = 3.8(3x + -3000)
(500 * 0.2 + -2.3x * 0.2) = 3.8(3x + -3000)
(100 + -0.46x) = 3.8(3x + -3000)

Reorder the terms:
100 + -0.46x = 3.8(-3000 + 3x)
100 + -0.46x = (-3000 * 3.8 + 3x * 3.8)
100 + -0.46x = (-11400 + 11.4x)

Solving
100 + -0.46x = -11400 + 11.4x

Solving for variable 'x'.

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

Add '-11.4x' to each side of the equation.
100 + -0.46x + -11.4x = -11400 + 11.4x + -11.4x

Combine like terms: -0.46x + -11.4x = -11.86x
100 + -11.86x = -11400 + 11.4x + -11.4x

Combine like terms: 11.4x + -11.4x = 0.0
100 + -11.86x = -11400 + 0.0
100 + -11.86x = -11400

Add '-100' to each side of the equation.
100 + -100 + -11.86x = -11400 + -100

Combine like terms: 100 + -100 = 0
0 + -11.86x = -11400 + -100
-11.86x = -11400 + -100

Combine like terms: -11400 + -100 = -11500
-11.86x = -11500

Divide each side by '-11.86'.
x = 969.6458685

Simplifying
x = 969.6458685

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