Solve -2x-1/2+1/6

$$- 2 x - \frac { 1 } { 2 } + \frac { 1 } { 6 }$$

Evaluate

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

Solution Steps

Least common multiple of 2 and 6 is 6. Convert -\frac{1}{2} and \frac{1}{6} to fractions with denominator 6.

$$-2x-\frac{3}{6}+\frac{1}{6}$$

Since -\frac{3}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$-2x+\frac{-3+1}{6}$$

Add -3 and 1 to get -2.

$$-2x+\frac{-2}{6}$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{-6x-1}{3}$$

Solution Steps

Factor out \frac{1}{6}.

$$\frac{-12x-2}{6}$$

Consider -12x-3+1. Multiply and combine like terms.

$$-12x-2$$

Consider -12x-2. Factor out 2.

$$2\left(-6x-1\right)$$

Rewrite the complete factored expression.

$$\frac{-6x-1}{3}$$