Solve 8/21=-2/7x

$$\frac { 8 } { 21 } = - \frac { 2 } { 7 } x$$

Solve for x

$$x = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{7}{2}, the reciprocal of -\frac{2}{7}.

$$\frac{8}{21}\left(-\frac{7}{2}\right)=x$$

Multiply \frac{8}{21} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\left(-7\right)}{21\times 2}=x$$

Do the multiplications in the fraction \frac{8\left(-7\right)}{21\times 2}.

$$\frac{-56}{42}=x$$

Reduce the fraction \frac{-56}{42} to lowest terms by extracting and canceling out 14.

$$-\frac{4}{3}=x$$

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

$$x=-\frac{4}{3}$$