Solve {l}{x-4}{-2/4}

$$\left. \begin{array} { l } { x - 4 } \\ { - \frac { 2 } { 4 } } \end{array} \right.$$

Evaluate

$$x = -\frac{9}{2} = -4\frac{1}{2} = -4.5$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$x-4-\frac{1}{2}$$

Convert -4 to fraction -\frac{8}{2}.

$$x-\frac{8}{2}-\frac{1}{2}$$

Since -\frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$x+\frac{-8-1}{2}$$

Subtract 1 from -8 to get -9.

$$x-\frac{9}{2}$$

Factor

$$\frac{2x-9}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{2x-9}{2}$$

Consider 2x-8-1. Multiply and combine like terms.

$$2x-9$$

Rewrite the complete factored expression.

$$\frac{2x-9}{2}$$