Select inductive reasoning, deductive reasoning, or neither. If 5x + 7 = 12, then x = 1.

deductive reasoning.

Explanation:

Deductive reasoning is the logic process of drawing a conclusion applying a general rule to a specific case.

To solve the equation 5x + 7 = 12 you apply this:

Rule application

Subtraction property of equality 5x = 12 - 7

Simplification 5x = 5

Division property of equality x = 5/5

Simplification x = 1.

Thus, by using the general rules to the specific equation, you ge the result x = 1, which shows that this is a case of deductive reasoning.