Solve 5/6=-3c-2/3

$$\frac { 5 } { 6 } = - 3 c - \frac { 2 } { 3 }$$

Solve for c

$$c=-\frac{1}{2}=-0.5$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$-3c-\frac{2}{3}=\frac{5}{6}$$

Add \frac{2}{3} to both sides.

$$-3c=\frac{5}{6}+\frac{2}{3}$$

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

$$-3c=\frac{5}{6}+\frac{4}{6}$$

Since \frac{5}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$-3c=\frac{5+4}{6}$$

Add 5 and 4 to get 9.

$$-3c=\frac{9}{6}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

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

Divide both sides by -3.

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

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

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

Multiply 2 and -3 to get -6.

$$c=\frac{3}{-6}$$

Reduce the fraction \frac{3}{-6} to lowest terms by extracting and canceling out 3.

$$c=-\frac{1}{2}$$