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

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

Solve for m

$$m = \frac{8}{3} = 2\frac{2}{3} \approx 2.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

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

Add -4 and 2 to get -2.

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

To find the opposite of m-2, find the opposite of each term.

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

The opposite of -2 is 2.

$$2m-2=-m+2+4$$

Add 2 and 4 to get 6.

$$2m-2=-m+6$$

Add m to both sides.

$$2m-2+m=6$$

Combine 2m and m to get 3m.

$$3m-2=6$$

Add 2 to both sides.

$$3m=6+2$$

Add 6 and 2 to get 8.

$$3m=8$$

Divide both sides by 3.

$$m=\frac{8}{3}$$