Solve x-(25%x)-(408x)-(10%x)=45

$$x - ( 25 \% x ) - ( 408 x ) - ( 10 \% x ) = 45$$

Solve for x

$$x=-\frac{900}{8147}\approx -0.110470112$$

Steps for Solving Linear Equation

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

$$x-\frac{1}{4}x-408x-\frac{10}{100}x=45$$

Combine x and -\frac{1}{4}x to get \frac{3}{4}x.

$$\frac{3}{4}x-408x-\frac{10}{100}x=45$$

Combine \frac{3}{4}x and -408x to get -\frac{1629}{4}x.

$$-\frac{1629}{4}x-\frac{10}{100}x=45$$

Reduce the fraction \frac{10}{100} to lowest terms by extracting and canceling out 10.

$$-\frac{1629}{4}x-\frac{1}{10}x=45$$

Combine -\frac{1629}{4}x and -\frac{1}{10}x to get -\frac{8147}{20}x.

$$-\frac{8147}{20}x=45$$

Multiply both sides by -\frac{20}{8147}, the reciprocal of -\frac{8147}{20}.

$$x=45\left(-\frac{20}{8147}\right)$$

Express 45\left(-\frac{20}{8147}\right) as a single fraction.

$$x=\frac{45\left(-20\right)}{8147}$$

Multiply 45 and -20 to get -900.

$$x=\frac{-900}{8147}$$

Fraction \frac{-900}{8147} can be rewritten as -\frac{900}{8147} by extracting the negative sign.

$$x=-\frac{900}{8147}$$