Solve 4(3-m)=5(2m+1)

$$4 ( 3 - m ) = 5 ( 2 m + 1 )$$

Solve for m

$$m=\frac{1}{2}=0.5$$

Steps for Solving Linear Equation

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

$$12-4m=5\left(2m+1\right)$$

Use the distributive property to multiply 5 by 2m+1.

$$12-4m=10m+5$$

Subtract 10m from both sides.

$$12-4m-10m=5$$

Combine -4m and -10m to get -14m.

$$12-14m=5$$

Subtract 12 from both sides.

$$-14m=5-12$$

Subtract 12 from 5 to get -7.

$$-14m=-7$$

Divide both sides by -14.

$$m=\frac{-7}{-14}$$

Reduce the fraction \frac{-7}{-14} to lowest terms by extracting and canceling out -7.

$$m=\frac{1}{2}$$