Solve 1/10000=x-10/15

$$\frac{ 1 }{ 10000 } = \frac{ x-10 }{ 15 }$$

Solve for x

$$x = \frac{20003}{2000} = 10\frac{3}{2000} = 10.0015$$

Steps for Solving Linear Equation

Multiply both sides by 15.

$$\frac{1}{10000}\times 15=x-10$$

Multiply \frac{1}{10000} and 15 to get \frac{15}{10000}.

$$\frac{15}{10000}=x-10$$

Reduce the fraction \frac{15}{10000} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2000}=x-10$$

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

$$x-10=\frac{3}{2000}$$

Add 10 to both sides.

$$x=\frac{3}{2000}+10$$

Convert 10 to fraction \frac{20000}{2000}.

$$x=\frac{3}{2000}+\frac{20000}{2000}$$

Since \frac{3}{2000} and \frac{20000}{2000} have the same denominator, add them by adding their numerators.

$$x=\frac{3+20000}{2000}$$

Add 3 and 20000 to get 20003.

$$x=\frac{20003}{2000}$$