Solve 3/2=-2/3x

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

Solve for x

$$x = -\frac{9}{4} = -2\frac{1}{4} = -2.25$$

Steps for Solving Linear Equation

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

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

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

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

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

$$\frac{-9}{4}=x$$

Fraction \frac{-9}{4} can be rewritten as -\frac{9}{4} by extracting the negative sign.

$$-\frac{9}{4}=x$$

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

$$x=-\frac{9}{4}$$