Solve (500)(20)=7.5(500+x)

$$( 500 ) ( 20 ) = 7.5 ( 500 + x )$$

Solve for x

$$x = \frac{2500}{3} = 833\frac{1}{3} \approx 833.333333333$$

Steps for Solving Linear Equation

Multiply 500 and 20 to get 10000.

$$10000=7.5\left(500+x\right)$$

Use the distributive property to multiply 7.5 by 500+x.

$$10000=3750+7.5x$$

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

$$3750+7.5x=10000$$

Subtract 3750 from both sides.

$$7.5x=10000-3750$$

Subtract 3750 from 10000 to get 6250.

$$7.5x=6250$$

Divide both sides by 7.5.

$$x=\frac{6250}{7.5}$$

Expand \frac{6250}{7.5} by multiplying both numerator and the denominator by 10.

$$x=\frac{62500}{75}$$

Reduce the fraction \frac{62500}{75} to lowest terms by extracting and canceling out 25.

$$x=\frac{2500}{3}$$