Solve 1/2(4m+8)=1/3(3m-3)

$$\frac { 1 } { 2 } ( 4 m + 8 ) = \frac { 1 } { 3 } ( 3 m - 3 )$$

Solve for m

$$m=-5$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{1}{2} by 4m+8.

$$\frac{1}{2}\times 4m+\frac{1}{2}\times 8=\frac{1}{3}\left(3m-3\right)$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{4}{2}m+\frac{1}{2}\times 8=\frac{1}{3}\left(3m-3\right)$$

Divide 4 by 2 to get 2.

$$2m+\frac{1}{2}\times 8=\frac{1}{3}\left(3m-3\right)$$

Multiply \frac{1}{2} and 8 to get \frac{8}{2}.

$$2m+\frac{8}{2}=\frac{1}{3}\left(3m-3\right)$$

Divide 8 by 2 to get 4.

$$2m+4=\frac{1}{3}\left(3m-3\right)$$

Use the distributive property to multiply \frac{1}{3} by 3m-3.

$$2m+4=\frac{1}{3}\times 3m+\frac{1}{3}\left(-3\right)$$

Cancel out 3 and 3.

$$2m+4=m+\frac{1}{3}\left(-3\right)$$

Multiply \frac{1}{3} and -3 to get \frac{-3}{3}.

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

Divide -3 by 3 to get -1.

$$2m+4=m-1$$

Subtract m from both sides.

$$2m+4-m=-1$$

Combine 2m and -m to get m.

$$m+4=-1$$

Subtract 4 from both sides.

$$m=-1-4$$

Subtract 4 from -1 to get -5.

$$m=-5$$