Solve 4(3m-6)=72+3(m-8)

$$4 ( 3 m - 6 ) = 72 + 3 ( m - 8 )$$

Solve for m

$$m=8$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by 3m-6.

$$12m-24=72+3\left(m-8\right)$$

Use the distributive property to multiply 3 by m-8.

$$12m-24=72+3m-24$$

Subtract 24 from 72 to get 48.

$$12m-24=48+3m$$

Subtract 3m from both sides.

$$12m-24-3m=48$$

Combine 12m and -3m to get 9m.

$$9m-24=48$$

Add 24 to both sides.

$$9m=48+24$$

Add 48 and 24 to get 72.

$$9m=72$$

Divide both sides by 9.

$$m=\frac{72}{9}$$

Divide 72 by 9 to get 8.

$$m=8$$