Solve x-5/2-2x-1/3=6

$$x - 5 / 2 - 2 x - 1 / 3 = 6$$

Solve for x

$$x = -\frac{53}{6} = -8\frac{5}{6} \approx -8.833333333$$

Steps for Solving Linear Equation

Combine x and -2x to get -x.

$$-x-\frac{5}{2}-\frac{1}{3}=6$$

Least common multiple of 2 and 3 is 6. Convert -\frac{5}{2} and \frac{1}{3} to fractions with denominator 6.

$$-x-\frac{15}{6}-\frac{2}{6}=6$$

Since -\frac{15}{6} and \frac{2}{6} have the same denominator, subtract them by subtracting their numerators.

$$-x+\frac{-15-2}{6}=6$$

Subtract 2 from -15 to get -17.

$$-x-\frac{17}{6}=6$$

Add \frac{17}{6} to both sides.

$$-x=6+\frac{17}{6}$$

Convert 6 to fraction \frac{36}{6}.

$$-x=\frac{36}{6}+\frac{17}{6}$$

Since \frac{36}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

$$-x=\frac{36+17}{6}$$

Add 36 and 17 to get 53.

$$-x=\frac{53}{6}$$

Multiply both sides by -1.

$$x=-\frac{53}{6}$$