Solve (17/7-x)divx=9/4div21/2

$$( \frac{ 17 }{ 7 } -x) \div x= \frac{ 9 }{ 4 } \div \frac{ 21 }{ 2 }$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$\frac{17}{7}-x=x\times \frac{\frac{9}{4}}{\frac{21}{2}}$$

Divide \frac{9}{4} by \frac{21}{2} by multiplying \frac{9}{4} by the reciprocal of \frac{21}{2}.

$$\frac{17}{7}-x=x\times \frac{9}{4}\times \frac{2}{21}$$

Multiply \frac{9}{4} times \frac{2}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17}{7}-x=x\times \frac{9\times 2}{4\times 21}$$

Do the multiplications in the fraction \frac{9\times 2}{4\times 21}.

$$\frac{17}{7}-x=x\times \frac{18}{84}$$

Reduce the fraction \frac{18}{84} to lowest terms by extracting and canceling out 6.

$$\frac{17}{7}-x=x\times \frac{3}{14}$$

Subtract x\times \frac{3}{14} from both sides.

$$\frac{17}{7}-x-x\times \frac{3}{14}=0$$

Combine -x and -x\times \frac{3}{14} to get -\frac{17}{14}x.

$$\frac{17}{7}-\frac{17}{14}x=0$$

Subtract \frac{17}{7} from both sides. Anything subtracted from zero gives its negation.

$$-\frac{17}{14}x=-\frac{17}{7}$$

Multiply both sides by -\frac{14}{17}, the reciprocal of -\frac{17}{14}.

$$x=-\frac{17}{7}\left(-\frac{14}{17}\right)$$

Multiply -\frac{17}{7} times -\frac{14}{17} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-17\left(-14\right)}{7\times 17}$$

Do the multiplications in the fraction \frac{-17\left(-14\right)}{7\times 17}.

$$x=\frac{238}{119}$$

Divide 238 by 119 to get 2.

$$x=2$$