Solve m+3/2-4=4-m/3+7

$$\frac { m + 3 } { 2 } - 4 = \frac { 4 - m } { 3 } + 7$$

Solve for m

$$m=13$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(m+3\right)-24=2\left(4-m\right)+42$$

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

$$3m+9-24=2\left(4-m\right)+42$$

Subtract 24 from 9 to get -15.

$$3m-15=2\left(4-m\right)+42$$

Use the distributive property to multiply 2 by 4-m.

$$3m-15=8-2m+42$$

Add 8 and 42 to get 50.

$$3m-15=50-2m$$

Add 2m to both sides.

$$3m-15+2m=50$$

Combine 3m and 2m to get 5m.

$$5m-15=50$$

Add 15 to both sides.

$$5m=50+15$$

Add 50 and 15 to get 65.

$$5m=65$$

Divide both sides by 5.

$$m=\frac{65}{5}$$

Divide 65 by 5 to get 13.

$$m=13$$