Solve 2-3x=3/2

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

Solve for x

$$x=\frac{1}{6}\approx 0.166666667$$

Steps for Solving Linear Equation

Subtract 2 from both sides.

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

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

$$-3x=\frac{3}{2}-\frac{4}{2}$$

Since \frac{3}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.

$$-3x=\frac{3-4}{2}$$

Subtract 4 from 3 to get -1.

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

Divide both sides by -3.

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

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

$$x=\frac{-1}{2\left(-3\right)}$$

Multiply 2 and -3 to get -6.

$$x=\frac{-1}{-6}$$

Fraction \frac{-1}{-6} can be simplified to \frac{1}{6} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{1}{6}$$