Problem
Solve the equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \[ x-12=17 \] Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is (Type an integer or a simplified fraction.) B. The solution set is $\{x \mid x$ is a real number $\}$. C. The solution set is $\varnothing$.
Solution
Step 1 ：The given equation is \(x - 12 = 17\). To solve for \(x\), we need to isolate \(x\) on one side of the equation. We can do this by adding 12 to both sides of the equation.
Step 2 ：This gives us \(x = 29\).
Step 3 ：We can check this by substituting \(x = 29\) into the original equation. This gives us \(29 - 12 = 17\), which is a true statement.
Step 4 ：Final Answer: The solution set is \(\boxed{29}\).
