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

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

Solve for m

$$m = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

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

$$6m-3\left(m-1\right)+2\left(m-2\right)=6$$

Use the distributive property to multiply -3 by m-1.

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

Combine 6m and -3m to get 3m.

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

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

$$3m+3+2m-4=6$$

Combine 3m and 2m to get 5m.

$$5m+3-4=6$$

Subtract 4 from 3 to get -1.

$$5m-1=6$$

Add 1 to both sides.

$$5m=6+1$$

Add 6 and 1 to get 7.

$$5m=7$$

Divide both sides by 5.

$$m=\frac{7}{5}$$