Solve -2=3x^-2*x

$$- 2 = 3 x ^ { - 2 } \times x$$

Solve for x

$$x = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -2 and 1 to get -1.

$$-2=3x^{-1}$$

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

$$3x^{-1}=-2$$

Divide both sides by 3.

$$x^{-1}=-\frac{2}{3}$$

Reorder the terms.

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

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 3x, the least common multiple of x,3.

$$3=-2x$$

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

$$-2x=3$$

Divide both sides by -2.

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

Fraction \frac{3}{-2} can be rewritten as -\frac{3}{2} by extracting the negative sign.

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