Solve 2m+1/4+3=m/6-6-m/12

$$\frac { 2 m + 1 } { 4 } + 3 = \frac { m } { 6 } - \frac { 6 - m } { 12 }$$

Solve for m

$$m=-15$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6,12.

$$3\left(2m+1\right)+36=2m-\left(6-m\right)$$

Use the distributive property to multiply 3 by 2m+1.

$$6m+3+36=2m-\left(6-m\right)$$

Add 3 and 36 to get 39.

$$6m+39=2m-\left(6-m\right)$$

To find the opposite of 6-m, find the opposite of each term.

$$6m+39=2m-6-\left(-m\right)$$

The opposite of -m is m.

$$6m+39=2m-6+m$$

Combine 2m and m to get 3m.

$$6m+39=3m-6$$

Subtract 3m from both sides.

$$6m+39-3m=-6$$

Combine 6m and -3m to get 3m.

$$3m+39=-6$$

Subtract 39 from both sides.

$$3m=-6-39$$

Subtract 39 from -6 to get -45.

$$3m=-45$$

Divide both sides by 3.

$$m=\frac{-45}{3}$$

Divide -45 by 3 to get -15.

$$m=-15$$