#### Answer

{-26}

#### Work Step by Step

x+12 = -14
Step 1: subtract 12 from both the sides
x+12 -12 = -14-12
Step 2: Simplify
x= -26
Now we check the proposed solution, -26, by replacing x with -26 in the original equation.
Step 1: the original equation x+12 =-14
Step2: Substitute -26 for x
-26 +12 = -14
Step 3: Solve -26 + 12= - 14
-14 = -14
Since the check results in true statement, we conclude that the solution set of the given equation is {-26}.