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

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

Solve for m

$$m = -\frac{27}{10} = -2\frac{7}{10} = -2.7$$

Steps for Solving Linear Equation

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

$$30m+15=20m-12$$

Subtract 20m from both sides.

$$30m+15-20m=-12$$

Combine 30m and -20m to get 10m.

$$10m+15=-12$$

Subtract 15 from both sides.

$$10m=-12-15$$

Subtract 15 from -12 to get -27.

$$10m=-27$$

Divide both sides by 10.

$$m=\frac{-27}{10}$$

Fraction \frac{-27}{10} can be rewritten as -\frac{27}{10} by extracting the negative sign.

$$m=-\frac{27}{10}$$