Solve 5000+(500-x)0.8=8.4x

$$5000+(500-x)0.8 = 8.4x$$

Solve for x

$$x = \frac{13500}{23} = 586\frac{22}{23} \approx 586.956521739$$

Steps for Solving Linear Equation

Use the distributive property to multiply 500-x by 0.8.

$$5000+400-0.8x=8.4x$$

Add 5000 and 400 to get 5400.

$$5400-0.8x=8.4x$$

Subtract 8.4x from both sides.

$$5400-0.8x-8.4x=0$$

Combine -0.8x and -8.4x to get -9.2x.

$$5400-9.2x=0$$

Subtract 5400 from both sides. Anything subtracted from zero gives its negation.

$$-9.2x=-5400$$

Divide both sides by -9.2.

$$x=\frac{-5400}{-9.2}$$

Expand \frac{-5400}{-9.2} by multiplying both numerator and the denominator by 10.

$$x=\frac{-54000}{-92}$$

Reduce the fraction \frac{-54000}{-92} to lowest terms by extracting and canceling out -4.

$$x=\frac{13500}{23}$$