Final answer:
To solve 12x + 7 = -11, subtract 7 from both sides, then divide by 12, leading to x = -3/2 or x = -1.5. The solution can be checked by substitution.
Step-by-step explanation:
To solve for x in the equation 12x + 7 = -11, we need to perform algebraic rearrangement. First, you would subtract 7 from both sides of the equation to isolate the term with the variable on one side. This results in:
12x = -11 - 7
12x = -18
Next, we divide both sides by 12 to solve for x:
x = -18 / 12
x = -3/2 or x = -1.5
This is the solution to the equation. Now, you can check the solution by substituting x back into the original equation to verify that both sides are equal.