Solve 0.01*5000+x/500+x=0.1

$$\frac{ 0.01 \times 5000+x }{ 500+x } =0.1$$

Solve for x

$$x=0$$

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 x+500.

$$0.01\times 5000+x=0.1\left(x+500\right)$$

Multiply 0.01 and 5000 to get 50.

$$50+x=0.1\left(x+500\right)$$

Use the distributive property to multiply 0.1 by x+500.

$$50+x=0.1x+50$$

Subtract 0.1x from both sides.

$$50+x-0.1x=50$$

Combine x and -0.1x to get 0.9x.

$$50+0.9x=50$$

Subtract 50 from both sides.

$$0.9x=50-50$$

Subtract 50 from 50 to get 0.

$$0.9x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 0.9 is not equal to 0, x must be equal to 0.

$$x=0$$