Solve 1635*8%-x=90x

$$1635 \times 8 \% - x = 90 x$$

Solve for x

$$x = \frac{654}{455} = 1\frac{199}{455} \approx 1.437362637$$

Steps for Solving Linear Equation

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$1635\times \frac{2}{25}-x=90x$$

Express 1635\times \frac{2}{25} as a single fraction.

$$\frac{1635\times 2}{25}-x=90x$$

Multiply 1635 and 2 to get 3270.

$$\frac{3270}{25}-x=90x$$

Reduce the fraction \frac{3270}{25} to lowest terms by extracting and canceling out 5.

$$\frac{654}{5}-x=90x$$

Subtract 90x from both sides.

$$\frac{654}{5}-x-90x=0$$

Combine -x and -90x to get -91x.

$$\frac{654}{5}-91x=0$$

Subtract \frac{654}{5} from both sides. Anything subtracted from zero gives its negation.

$$-91x=-\frac{654}{5}$$

Divide both sides by -91.

$$x=\frac{-\frac{654}{5}}{-91}$$

Express \frac{-\frac{654}{5}}{-91} as a single fraction.

$$x=\frac{-654}{5\left(-91\right)}$$

Multiply 5 and -91 to get -455.

$$x=\frac{-654}{-455}$$

Fraction \frac{-654}{-455} can be simplified to \frac{654}{455} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{654}{455}$$