Solve 10485-x/x*100=825

$$\frac { 10485 - x } { x } \times 100 = 825$$

Solve for x

$$x = \frac{41940}{37} = 1133\frac{19}{37} \approx 1133.513513514$$

Steps for Solving Linear Equation

Divide both sides by 100.

$$\frac{10485-x}{x}=\frac{825}{100}$$

Reduce the fraction \frac{825}{100} to lowest terms by extracting and canceling out 25.

$$\frac{10485-x}{x}=\frac{33}{4}$$

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 4x, the least common multiple of x,4.

$$4\left(10485-x\right)=33x$$

Use the distributive property to multiply 4 by 10485-x.

$$41940-4x=33x$$

Subtract 33x from both sides.

$$41940-4x-33x=0$$

Combine -4x and -33x to get -37x.

$$41940-37x=0$$

Subtract 41940 from both sides. Anything subtracted from zero gives its negation.

$$-37x=-41940$$

Divide both sides by -37.

$$x=\frac{-41940}{-37}$$

Fraction \frac{-41940}{-37} can be simplified to \frac{41940}{37} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{41940}{37}$$