For each equation, a possible solution is given. Check to see if the given solution is correct. 

1. Is $x = −4$ a solution to $3x + 7 = x − 1$?

   Step 1(a):

   Substitute the possible answer in for x.

   $3\left( −4 \right) + 7 = \left( −4 \right) − 1$

   Step 2(a):

   If the numbers on both sides of the equation sign are true, then the possible answer is correct.

   $−12 + 7 = −5\\ −5 = \quad \:\:\:\:−5$

   Answer (a):

   Yes

2. If $−2x − 4 = −4x + 3$, then does $x = 3$?

   Hint (b):

   Follow the steps in part (a).

   Answer (b):

   No

3. Is $x = 2$ a solution to $−3x + 5 + 5x − 1 = 0$?

   Hint (c):

   Follow the steps in part (a).

4. If $f(x)=−(x−1)$ then does $f(−2)=3$?

   Hint (d):

   How does the negative in front of the parentheses change what is inside?

   More Help (d):

   Follow the steps in part (a).