Which of the following solutions would make the equation 36−22=2x true?(1 point)%0D%0AResponses%0D%0A%0D%0Ax=7%0D%0Ax equals 7%0D%0A%0D%0Ax=14%0D%0Ax equals 14%0D%0A%0D%0Ax=29%0D%0Ax equals 29%0D%0A%0D%0Ax=12
To determine which solution makes the equation true, we can substitute each value of x into the equation and see if both sides are equal.
36 - 22 = 2x
Let's check each option:
1) x = 7:
36 - 22 = 2(7)
14 = 14 (True)
2) x = 14:
36 - 22 = 2(14)
14 = 28 (False)
3) x = 29:
36 - 22 = 2(29)
14 = 58 (False)
4) x = 12:
36 - 22 = 2(12)
14 = 24 (False)
Based on these checks, the solution that makes the equation true is x = 7.
WHY
I apologize for the incorrect response. Let's go through the correct solution step by step to explain why x = 7 is the correct answer.
Given equation: 36 - 22 = 2x
To solve for x, we need to isolate it on one side of the equation. We can do this by performing the necessary operations.
36 - 22 = 2x
First, let's simplify the left side of the equation:
36 - 22 = 14
Now, the equation becomes:
14 = 2x
To solve for x, we need to isolate it. We can do this by dividing both sides of the equation by 2:
14/2 = 2x/2
7 = x
Therefore, the value of x that makes the equation true is x = 7.