Solve 10/3=x/(-frac{5{2})}

$$\frac { 10 } { 3 } = \frac { x } { ( - \frac { 5 } { 2 } ) }$$

Solve for x

$$x = -\frac{25}{3} = -8\frac{1}{3} \approx -8.333333333$$

Steps for Solving Linear Equation

Multiply both sides by -\frac{5}{2}.

$$\frac{10}{3}\left(-\frac{5}{2}\right)=x$$

Multiply \frac{10}{3} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\left(-5\right)}{3\times 2}=x$$

Do the multiplications in the fraction \frac{10\left(-5\right)}{3\times 2}.

$$\frac{-50}{6}=x$$

Reduce the fraction \frac{-50}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{25}{3}=x$$

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

$$x=-\frac{25}{3}$$