Solve 6=500(1-190x/48)+100x

$$6=500( \frac{ 1-190x }{ 48 } )+100x$$

Solve for x

$$x=\frac{53}{22550}\approx 0.002350333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 48.

$$288=500\left(1-190x\right)+4800x$$

Use the distributive property to multiply 500 by 1-190x.

$$288=500-95000x+4800x$$

Combine -95000x and 4800x to get -90200x.

$$288=500-90200x$$

Swap sides so that all variable terms are on the left hand side.

$$500-90200x=288$$

Subtract 500 from both sides.

$$-90200x=288-500$$

Subtract 500 from 288 to get -212.

$$-90200x=-212$$

Divide both sides by -90200.

$$x=\frac{-212}{-90200}$$

Reduce the fraction \frac{-212}{-90200} to lowest terms by extracting and canceling out -4.

$$x=\frac{53}{22550}$$