Solve 21413.57=x-x*10/100

$$21413.57 = x - x \cdot \frac { 10 } { 100 }$$

Solve for x

$$x = \frac{2141357}{90} = 23792\frac{77}{90} \approx 23792.855555556$$

Steps for Solving Linear Equation

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

$$21413.57=x-x\times \frac{1}{10}$$

Combine x and -x\times \frac{1}{10} to get \frac{9}{10}x.

$$21413.57=\frac{9}{10}x$$

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

$$\frac{9}{10}x=21413.57$$

Multiply both sides by \frac{10}{9}, the reciprocal of \frac{9}{10}.

$$x=21413.57\times \frac{10}{9}$$

Convert decimal number 21413.57 to fraction \frac{2141357}{100}.

$$x=\frac{2141357}{100}\times \frac{10}{9}$$

Multiply \frac{2141357}{100} times \frac{10}{9} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{2141357\times 10}{100\times 9}$$

Do the multiplications in the fraction \frac{2141357\times 10}{100\times 9}.

$$x=\frac{21413570}{900}$$

Reduce the fraction \frac{21413570}{900} to lowest terms by extracting and canceling out 10.

$$x=\frac{2141357}{90}$$