Which equation has the same solution as x - 12 = 40?
A. x/4 = 13
B. x + 12 = -40
C. 12 - x = 40
D. x/2 = 14
To find the equation that has the same solution as x - 12 = 40, we need to manipulate the equation in a way that isolates x.
Starting with x - 12 = 40, we can add 12 to both sides:
x - 12 + 12 = 40 + 12
x = 52
Now let's check each answer choice to find the equation that also gives x = 52.
A. x/4 = 13
If we multiply both sides by 4, we get:
x = 4 * 13
x = 52
Since this equation also equals 52, choice A is a possible solution.
B. x + 12 = -40
If we subtract 12 from both sides, we get:
x + 12 - 12 = -40 - 12
x = -52
Since -52 is not equal to 52, choice B is not a possible solution.
C. 12 - x = 40
If we subtract 12 from both sides, we get:
12 - x - 12 = 40 - 12
-x = 28
Multiplying both sides by -1, we get:
x = -28
Since -28 is not equal to 52, choice C is not a possible solution.
D. x/2 = 14
If we multiply both sides by 2, we get:
x = 2 * 14
x = 28
Since 28 is not equal to 52, choice D is not a possible solution.
Therefore, the equation that has the same solution as x - 12 = 40 is x/4 = 13.