Solve (m+2)-(4-m-5)=(2+2)-(4-2-5)

$$( m + 2 ) - ( 4 - m - 5 ) = ( 2 + 2 ) - ( 4 - 2 - 5 )$$

Solve for m

$$m=2$$

Steps for Solving Linear Equation

Subtract 5 from 4 to get -1.

$$m+2-\left(-1-m\right)=2+2-\left(4-2-5\right)$$

To find the opposite of -1-m, find the opposite of each term.

$$m+2-\left(-1\right)-\left(-m\right)=2+2-\left(4-2-5\right)$$

The opposite of -1 is 1.

$$m+2+1-\left(-m\right)=2+2-\left(4-2-5\right)$$

The opposite of -m is m.

$$m+2+1+m=2+2-\left(4-2-5\right)$$

Add 2 and 1 to get 3.

$$m+3+m=2+2-\left(4-2-5\right)$$

Combine m and m to get 2m.

$$2m+3=2+2-\left(4-2-5\right)$$

Add 2 and 2 to get 4.

$$2m+3=4-\left(4-2-5\right)$$

Subtract 2 from 4 to get 2.

$$2m+3=4-\left(2-5\right)$$

Subtract 5 from 2 to get -3.

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

The opposite of -3 is 3.

$$2m+3=4+3$$

Add 4 and 3 to get 7.

$$2m+3=7$$

Subtract 3 from both sides.

$$2m=7-3$$

Subtract 3 from 7 to get 4.

$$2m=4$$

Divide both sides by 2.

$$m=\frac{4}{2}$$

Divide 4 by 2 to get 2.

$$m=2$$