Solve (x-500)*8+5000=84x

$$(x-500) \times 8+5000=84x$$

Solve for x

$$x = \frac{250}{19} = 13\frac{3}{19} \approx 13.157894737$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-500 by 8.

$$8x-4000+5000=84x$$

Add -4000 and 5000 to get 1000.

$$8x+1000=84x$$

Subtract 84x from both sides.

$$8x+1000-84x=0$$

Combine 8x and -84x to get -76x.

$$-76x+1000=0$$

Subtract 1000 from both sides. Anything subtracted from zero gives its negation.

$$-76x=-1000$$

Divide both sides by -76.

$$x=\frac{-1000}{-76}$$

Reduce the fraction \frac{-1000}{-76} to lowest terms by extracting and canceling out -4.

$$x=\frac{250}{19}$$