0.3(400-2.3x)=3.8(4x-5000)

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Solution for 0.3(400-2.3x)=3.8(4x-5000) equation: 


Simplifying
0.3(400 + -2.3x) = 3.8(4x + -5000)
(400 * 0.3 + -2.3x * 0.3) = 3.8(4x + -5000)
(120 + -0.69x) = 3.8(4x + -5000)

Reorder the terms:
120 + -0.69x = 3.8(-5000 + 4x)
120 + -0.69x = (-5000 * 3.8 + 4x * 3.8)
120 + -0.69x = (-19000 + 15.2x)

Solving
120 + -0.69x = -19000 + 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.
120 + -0.69x + -15.2x = -19000 + 15.2x + -15.2x

Combine like terms: -0.69x + -15.2x = -15.89x
120 + -15.89x = -19000 + 15.2x + -15.2x

Combine like terms: 15.2x + -15.2x = 0.0
120 + -15.89x = -19000 + 0.0
120 + -15.89x = -19000

Add '-120' to each side of the equation.
120 + -120 + -15.89x = -19000 + -120

Combine like terms: 120 + -120 = 0
0 + -15.89x = -19000 + -120
-15.89x = -19000 + -120

Combine like terms: -19000 + -120 = -19120
-15.89x = -19120

Divide each side by '-15.89'.
x = 1203.272498

Simplifying
x = 1203.272498

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