Solve 500*8%+x/500+x=20%

$$\frac { 500 \times 8 \% + x } { 500 + x } = 20 \%$$

Solve for x

$$x=75$$

Steps for Solving Linear Equation

Variable x cannot be equal to -500 since division by zero is not defined. Multiply both sides of the equation by 100\left(x+500\right), the least common multiple of 500+x,100.

$$100\left(500\times \frac{8}{100}+x\right)=\left(x+500\right)\times 20$$

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$100\left(500\times \frac{2}{25}+x\right)=\left(x+500\right)\times 20$$

Multiply 500 and \frac{2}{25} to get 40.

$$100\left(40+x\right)=\left(x+500\right)\times 20$$

Use the distributive property to multiply 100 by 40+x.

$$4000+100x=\left(x+500\right)\times 20$$

Use the distributive property to multiply x+500 by 20.

$$4000+100x=20x+10000$$

Subtract 20x from both sides.

$$4000+100x-20x=10000$$

Combine 100x and -20x to get 80x.

$$4000+80x=10000$$

Subtract 4000 from both sides.

$$80x=10000-4000$$

Subtract 4000 from 10000 to get 6000.

$$80x=6000$$

Divide both sides by 80.

$$x=\frac{6000}{80}$$

Divide 6000 by 80 to get 75.

$$x=75$$