Solve 215.35/500+x=10/100

$$\frac { 215.35 } { 500 + x } = \frac { 10 } { 100 }$$

Solve for x

$$x=1653.5$$

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.

$$100\times 215.35=\left(x+500\right)\times 10$$

Multiply 100 and 215.35 to get 21535.

$$21535=\left(x+500\right)\times 10$$

Use the distributive property to multiply x+500 by 10.

$$21535=10x+5000$$

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

$$10x+5000=21535$$

Subtract 5000 from both sides.

$$10x=21535-5000$$

Subtract 5000 from 21535 to get 16535.

$$10x=16535$$

Divide both sides by 10.

$$x=\frac{16535}{10}$$

Reduce the fraction \frac{16535}{10} to lowest terms by extracting and canceling out 5.

$$x=\frac{3307}{2}$$