Solve the Rational Equation for x (3x-2)/x=-8/x

$\frac{3 x - 2}{x} = - \frac{8}{x}$

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$3 x - 2 = - 8$

Move all terms not containing $x$ to the right side of the equation.

Add $2$ to both sides of the equation.

$3 x = - 8 + 2$

Add $- 8$ and $2$ .

$3 x = - 6$

Divide each term in $3 x = - 6$ by $3$ and simplify.

Divide each term in $3 x = - 6$ by $3$ .

$\frac{3 x}{3} = \frac{- 6}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 x}{3} = \frac{- 6}{3}$

Divide $x$ by $1$ .

$x = \frac{- 6}{3}$

Simplify the right side.

Divide $- 6$ by $3$ .

$x = - 2$