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

$$2 m - 3 ( m + 1 ) = 4 ( m + 3 )$$

Solve for m

$$m=-3$$

Steps for Solving Linear Equation

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

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

Combine 2m and -3m to get -m.

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

Use the distributive property to multiply 4 by m+3.

$$-m-3=4m+12$$

Subtract 4m from both sides.

$$-m-3-4m=12$$

Combine -m and -4m to get -5m.

$$-5m-3=12$$

Add 3 to both sides.

$$-5m=12+3$$

Add 12 and 3 to get 15.

$$-5m=15$$

Divide both sides by -5.

$$m=\frac{15}{-5}$$

Divide 15 by -5 to get -3.

$$m=-3$$