Solve -5/6-x=1/4

$$\frac { - 5 } { 6 } - x = \frac { 1 } { 4 }$$

Solve for x

$$x = -\frac{13}{12} = -1\frac{1}{12} \approx -1.083333333$$

Steps for Solving Linear Equation

Fraction \frac{-5}{6} can be rewritten as -\frac{5}{6} by extracting the negative sign.

$$-\frac{5}{6}-x=\frac{1}{4}$$

Add \frac{5}{6} to both sides.

$$-x=\frac{1}{4}+\frac{5}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{1}{4} and \frac{5}{6} to fractions with denominator 12.

$$-x=\frac{3}{12}+\frac{10}{12}$$

Since \frac{3}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$-x=\frac{3+10}{12}$$

Add 3 and 10 to get 13.

$$-x=\frac{13}{12}$$

Multiply both sides by -1.

$$x=-\frac{13}{12}$$