Solve 4-7/4+2-m/3=7/12

$$\frac { 4 - 7 } { 4 } + \frac { 2 - m } { 3 } = \frac { 7 } { 12 }$$

Solve for m

$$m=-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3,12.

$$3\left(4-7\right)+4\left(2-m\right)=7$$

Subtract 7 from 4 to get -3.

$$3\left(-3\right)+4\left(2-m\right)=7$$

Multiply 3 and -3 to get -9.

$$-9+4\left(2-m\right)=7$$

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

$$-9+8-4m=7$$

Add -9 and 8 to get -1.

$$-1-4m=7$$

Add 1 to both sides.

$$-4m=7+1$$

Add 7 and 1 to get 8.

$$-4m=8$$

Divide both sides by -4.

$$m=\frac{8}{-4}$$

Divide 8 by -4 to get -2.

$$m=-2$$