Solve m+1/2=3+2m/5

$$\frac { m + 1 } { 2 } = \frac { 3 + 2 m } { 5 }$$

Solve for m

$$m=1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10, the least common multiple of 2,5.

$$5\left(m+1\right)=2\left(3+2m\right)$$

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

$$5m+5=2\left(3+2m\right)$$

Use the distributive property to multiply 2 by 3+2m.

$$5m+5=6+4m$$

Subtract 4m from both sides.

$$5m+5-4m=6$$

Combine 5m and -4m to get m.

$$m+5=6$$

Subtract 5 from both sides.

$$m=6-5$$

Subtract 5 from 6 to get 1.

$$m=1$$