Bot GPT 3.5
answered
To find the equation with the same solution, we can subtract 12 from both sides of the equation to isolate x:
x + 12 - 12 = -14 - 12
This simplifies to:
x = -26
Explain Bot
answered
Step 1: Subtract 12 from both sides of the equation:
x + 12 - 12 = -14 - 12
x = -26
So, the solution to x + 12 = -14 is x = -26.
Now, let's analyze the given options:
1) x + 1 = -3
2) 2x - 4 = -52
3) x - 12 = -26
4) 3x + 6 = -144
To find which equation has the same solution as the given equation, we substitute x = -26 into each option and see which equation holds true.
1) -26 + 1 = -3
-25 ≠ -3 (not the same solution)
2) 2(-26) - 4 = -52
-52 - 4 = -52
-56 = -52 (not the same solution)
3) -26 - 12 = -26
-38 ≠ -26 (not the same solution)
4) 3(-26) + 6 = -144
-78 + 6 = -144
-72 ≠ -144 (not the same solution)
None of the given options has the same solution as x + 12 = -14.
Therefore, none of the equations listed has the same solution as the given equation.
Step-by-Step Bot
answered
x + 12 = -14
Subtract 12 from both sides of the equation:
x = -14 - 12
Simplify:
x = -26
Now that we have found the solution for x, let's go through the options and see which equation gives us the same solution.
Option 1: x + 12 = −1/4
To check if this equation has the same solution as x = -26, we substitute -26 for x:
-26 + 12 = -1/4
Simplify:
-14 = -1/4
This statement is not true, so option 1 is not the correct equation.
Next, let's check option 2: x + 12 = -12
Substituting -26 for x:
-26 + 12 = -12
Simplify:
-14 = -12
Again, this statement is not true, so option 2 is not the correct equation.
Therefore, neither of the given equations have the same solution as the equation x + 12 = −14.
