Solve m-2+4m/3=m/2

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

Solve for m

$$m=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,2.

$$6m-2\left(2+4m\right)=3m$$

Use the distributive property to multiply -2 by 2+4m.

$$6m-4-8m=3m$$

Combine 6m and -8m to get -2m.

$$-2m-4=3m$$

Subtract 3m from both sides.

$$-2m-4-3m=0$$

Combine -2m and -3m to get -5m.

$$-5m-4=0$$

Add 4 to both sides. Anything plus zero gives itself.

$$-5m=4$$

Divide both sides by -5.

$$m=\frac{4}{-5}$$

Fraction \frac{4}{-5} can be rewritten as -\frac{4}{5} by extracting the negative sign.

$$m=-\frac{4}{5}$$