Solve (500*10)+500*0.8x=8.4x

$$(500 \times 10)+500 \times 0.8x=8.4x$$

Solve for x

$$x = -\frac{12500}{979} = -12\frac{752}{979} \approx -12.768130746$$

Steps for Solving Linear Equation

Multiply 500 and 10 to get 5000.

$$5000+500\times 0.8x=8.4x$$

Multiply 500 and 0.8 to get 400.

$$5000+400x=8.4x$$

Subtract 8.4x from both sides.

$$5000+400x-8.4x=0$$

Combine 400x and -8.4x to get 391.6x.

$$5000+391.6x=0$$

Subtract 5000 from both sides. Anything subtracted from zero gives its negation.

$$391.6x=-5000$$

Divide both sides by 391.6.

$$x=\frac{-5000}{391.6}$$

Expand \frac{-5000}{391.6} by multiplying both numerator and the denominator by 10.

$$x=\frac{-50000}{3916}$$

Reduce the fraction \frac{-50000}{3916} to lowest terms by extracting and canceling out 4.

$$x=-\frac{12500}{979}$$