Solve 135x%*90%-5-x=208

$$135x \% \times 90 \% -5-x=208$$

Solve for x

$$x = \frac{42600}{43} = 990\frac{30}{43} \approx 990.697674419$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$135x\times \frac{90}{100}-500-100x=20800$$

Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.

$$135x\times \frac{9}{10}-500-100x=20800$$

Express 135\times \frac{9}{10} as a single fraction.

$$\frac{135\times 9}{10}x-500-100x=20800$$

Multiply 135 and 9 to get 1215.

$$\frac{1215}{10}x-500-100x=20800$$

Reduce the fraction \frac{1215}{10} to lowest terms by extracting and canceling out 5.

$$\frac{243}{2}x-500-100x=20800$$

Combine \frac{243}{2}x and -100x to get \frac{43}{2}x.

$$\frac{43}{2}x-500=20800$$

Add 500 to both sides.

$$\frac{43}{2}x=20800+500$$

Add 20800 and 500 to get 21300.

$$\frac{43}{2}x=21300$$

Multiply both sides by \frac{2}{43}, the reciprocal of \frac{43}{2}.

$$x=21300\times \frac{2}{43}$$

Express 21300\times \frac{2}{43} as a single fraction.

$$x=\frac{21300\times 2}{43}$$

Multiply 21300 and 2 to get 42600.

$$x=\frac{42600}{43}$$