Solve 8140-x=1.75%x

$$8140-x=1.75 \% x$$

Solve for x

$$x=8000$$

Steps for Solving Linear Equation

Expand \frac{1.75}{100} by multiplying both numerator and the denominator by 100.

$$8140-x=\frac{175}{10000}x$$

Reduce the fraction \frac{175}{10000} to lowest terms by extracting and canceling out 25.

$$8140-x=\frac{7}{400}x$$

Subtract \frac{7}{400}x from both sides.

$$8140-x-\frac{7}{400}x=0$$

Combine -x and -\frac{7}{400}x to get -\frac{407}{400}x.

$$8140-\frac{407}{400}x=0$$

Subtract 8140 from both sides. Anything subtracted from zero gives its negation.

$$-\frac{407}{400}x=-8140$$

Multiply both sides by -\frac{400}{407}, the reciprocal of -\frac{407}{400}.

$$x=-8140\left(-\frac{400}{407}\right)$$

Express -8140\left(-\frac{400}{407}\right) as a single fraction.

$$x=\frac{-8140\left(-400\right)}{407}$$

Multiply -8140 and -400 to get 3256000.

$$x=\frac{3256000}{407}$$

Divide 3256000 by 407 to get 8000.

$$x=8000$$