Solve (900-50x)*100=13

$$( 900 - 50 x ) \cdot 100 = 13$$

Solve for x

$$x = \frac{89987}{5000} = 17\frac{4987}{5000} = 17.9974$$

Steps for Solving Linear Equation

Divide both sides by 100.

$$900-50x=\frac{13}{100}$$

Subtract 900 from both sides.

$$-50x=\frac{13}{100}-900$$

Convert 900 to fraction \frac{90000}{100}.

$$-50x=\frac{13}{100}-\frac{90000}{100}$$

Since \frac{13}{100} and \frac{90000}{100} have the same denominator, subtract them by subtracting their numerators.

$$-50x=\frac{13-90000}{100}$$

Subtract 90000 from 13 to get -89987.

$$-50x=-\frac{89987}{100}$$

Divide both sides by -50.

$$x=\frac{-\frac{89987}{100}}{-50}$$

Express \frac{-\frac{89987}{100}}{-50} as a single fraction.

$$x=\frac{-89987}{100\left(-50\right)}$$

Multiply 100 and -50 to get -5000.

$$x=\frac{-89987}{-5000}$$

Fraction \frac{-89987}{-5000} can be simplified to \frac{89987}{5000} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{89987}{5000}$$