Solve m/3+3m-1/6=m

$$\frac { m } { 3 } + \frac { 3 m - 1 } { 6 } = m$$

Solve for m

$$m=-1$$

Steps for Solving Linear Equation

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 3 and 6 is 6. Multiply \frac{m}{3} times \frac{2}{2}.

$$\frac{2m}{6}+\frac{3m-1}{6}=m$$

Since \frac{2m}{6} and \frac{3m-1}{6} have the same denominator, add them by adding their numerators.

$$\frac{2m+3m-1}{6}=m$$

Combine like terms in 2m+3m-1.

$$\frac{5m-1}{6}=m$$

Divide each term of 5m-1 by 6 to get \frac{5}{6}m-\frac{1}{6}.

$$\frac{5}{6}m-\frac{1}{6}=m$$

Subtract m from both sides.

$$\frac{5}{6}m-\frac{1}{6}-m=0$$

Combine \frac{5}{6}m and -m to get -\frac{1}{6}m.

$$-\frac{1}{6}m-\frac{1}{6}=0$$

Add \frac{1}{6} to both sides. Anything plus zero gives itself.

$$-\frac{1}{6}m=\frac{1}{6}$$

Multiply both sides by -6, the reciprocal of -\frac{1}{6}.

$$m=\frac{1}{6}\left(-6\right)$$

Multiply \frac{1}{6} and -6 to get \frac{-6}{6}.

$$m=\frac{-6}{6}$$

Divide -6 by 6 to get -1.

$$m=-1$$