0.2(400-2.3x)=3.8(4x-4000)

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Solution for 0.2(400-2.3x)=3.8(4x-4000) equation: 


Simplifying
0.2(400 + -2.3x) = 3.8(4x + -4000)
(400 * 0.2 + -2.3x * 0.2) = 3.8(4x + -4000)
(80 + -0.46x) = 3.8(4x + -4000)

Reorder the terms:
80 + -0.46x = 3.8(-4000 + 4x)
80 + -0.46x = (-4000 * 3.8 + 4x * 3.8)
80 + -0.46x = (-15200 + 15.2x)

Solving
80 + -0.46x = -15200 + 15.2x

Solving for variable 'x'.

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

Add '-15.2x' to each side of the equation.
80 + -0.46x + -15.2x = -15200 + 15.2x + -15.2x

Combine like terms: -0.46x + -15.2x = -15.66x
80 + -15.66x = -15200 + 15.2x + -15.2x

Combine like terms: 15.2x + -15.2x = 0.0
80 + -15.66x = -15200 + 0.0
80 + -15.66x = -15200

Add '-80' to each side of the equation.
80 + -80 + -15.66x = -15200 + -80

Combine like terms: 80 + -80 = 0
0 + -15.66x = -15200 + -80
-15.66x = -15200 + -80

Combine like terms: -15200 + -80 = -15280
-15.66x = -15280

Divide each side by '-15.66'.
x = 975.734355

Simplifying
x = 975.734355

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