Solve 2m/3-8m/4-1/2=1/5

$$\frac { 2 m } { 3 } - \frac { 8 m } { 4 } - \frac { 1 } { 2 } = \frac { 1 } { 5 }$$

Solve for m

$$m=-\frac{21}{40}=-0.525$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 60, the least common multiple of 3,4,2,5.

$$20\times 2m-15\times 8m-30=12$$

Multiply 20 and 2 to get 40.

$$40m-15\times 8m-30=12$$

Multiply -15 and 8 to get -120.

$$40m-120m-30=12$$

Combine 40m and -120m to get -80m.

$$-80m-30=12$$

Add 30 to both sides.

$$-80m=12+30$$

Add 12 and 30 to get 42.

$$-80m=42$$

Divide both sides by -80.

$$m=\frac{42}{-80}$$

Reduce the fraction \frac{42}{-80} to lowest terms by extracting and canceling out 2.

$$m=-\frac{21}{40}$$