Question

what equation has the same solution as x - 12 = 40
12 - x = 40
x + 12 = 40
x/2 = 14
x/4 = 13

Answer 1

To find which of the given equations has the same solution as \(x - 12 = 40\), we can solve this original equation:

1. **Solve \(x - 12 = 40\)**:
\[
x = 40 + 12
\]
\[
x = 52
\]

Now, we will check each of the other equations to see which one also results in \(x = 52\):

2. **Check \(12 - x = 40\)**:
\[
12 - x = 40
\]
\[
-x = 40 - 12
\]
\[
-x = 28
\]
\[
x = -28 \quad \text{(not the same solution)}
\]

3. **Check \(x + 12 = 40\)**:
\[
x + 12 = 40
\]
\[
x = 40 - 12
\]
\[
x = 28 \quad \text{(not the same solution)}
\]

4. **Check \(x/2 = 14\)**:
\[
x/2 = 14
\]
\[
x = 14 \times 2
\]
\[
x = 28 \quad \text{(not the same solution)}
\]

5. **Check \(x/4 = 13\)**:
\[
x/4 = 13
\]
\[
x = 13 \times 4
\]
\[
x = 52 \quad \text{(this is the same solution)}
\]

Therefore, the equation that has the same solution as \(x - 12 = 40\) is \(x/4 = 13\).