Solve -2/3x=7/3

$$- \frac { 2 } { 3 } x = 7 / 3$$

Solve for x

$$x = -\frac{7}{2} = -3\frac{1}{2} = -3.5$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{3}{2}, the reciprocal of -\frac{2}{3}.

$$x=\frac{7}{3}\left(-\frac{3}{2}\right)$$

Multiply \frac{7}{3} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{7\left(-3\right)}{3\times 2}$$

Do the multiplications in the fraction \frac{7\left(-3\right)}{3\times 2}.

$$x=\frac{-21}{6}$$

Reduce the fraction \frac{-21}{6} to lowest terms by extracting and canceling out 3.

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