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

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

Solve for m

$$m = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

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

$$-2\times 2m+30=5m$$

Multiply -2 and 2 to get -4.

$$-4m+30=5m$$

Subtract 5m from both sides.

$$-4m+30-5m=0$$

Combine -4m and -5m to get -9m.

$$-9m+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$-9m=-30$$

Divide both sides by -9.

$$m=\frac{-30}{-9}$$

Reduce the fraction \frac{-30}{-9} to lowest terms by extracting and canceling out -3.

$$m=\frac{10}{3}$$