Solve (x-x10/100)-(x-x10/100)5/100=1539

$$(x-x \frac{ 10 }{ 100 } )-(x-x \frac{ 10 }{ 100 } ) \frac{ 5 }{ 100 } =1539$$

Solve for x

$$x=1800$$

Steps for Solving Linear Equation

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

$$x-x\times \frac{1}{10}-\left(x-x\times \frac{10}{100}\right)\times \frac{5}{100}=1539$$

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

$$\frac{9}{10}x-\left(x-x\times \frac{10}{100}\right)\times \frac{5}{100}=1539$$

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

$$\frac{9}{10}x-\left(x-x\times \frac{1}{10}\right)\times \frac{5}{100}=1539$$

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

$$\frac{9}{10}x-\frac{9}{10}x\times \frac{5}{100}=1539$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{9}{10}x-\frac{9}{10}x\times \frac{1}{20}=1539$$

Multiply \frac{9}{10} times \frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{10}x-\frac{9\times 1}{10\times 20}x=1539$$

Do the multiplications in the fraction \frac{9\times 1}{10\times 20}.

$$\frac{9}{10}x-\frac{9}{200}x=1539$$

Combine \frac{9}{10}x and -\frac{9}{200}x to get \frac{171}{200}x.

$$\frac{171}{200}x=1539$$

Multiply both sides by \frac{200}{171}, the reciprocal of \frac{171}{200}.

$$x=1539\times \frac{200}{171}$$

Express 1539\times \frac{200}{171} as a single fraction.

$$x=\frac{1539\times 200}{171}$$

Multiply 1539 and 200 to get 307800.

$$x=\frac{307800}{171}$$

Divide 307800 by 171 to get 1800.

$$x=1800$$