Solve -5/2=1/3x-2

$$- \frac{ 5 }{ 2 } = \frac{ 1 }{ 3 } x-2$$

Solve for x

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

Steps for Solving Linear Equation

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

$$\frac{1}{3}x-2=-\frac{5}{2}$$

Add 2 to both sides.

$$\frac{1}{3}x=-\frac{5}{2}+2$$

Convert 2 to fraction \frac{4}{2}.

$$\frac{1}{3}x=-\frac{5}{2}+\frac{4}{2}$$

Since -\frac{5}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}x=\frac{-5+4}{2}$$

Add -5 and 4 to get -1.

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

Multiply both sides by 3, the reciprocal of \frac{1}{3}.

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

Express -\frac{1}{2}\times 3 as a single fraction.

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

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

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