Which of the following solutions would make the equation 36−22=2x true?(1 point)
Responses
x=12
x equals 12
x=14
x equals 14
x=29
x equals 29
x=7
x = 14 would make the equation 36 - 22 = 2x true.
When we substitute x = 14 in the equation, we get:
36 - 22 = 2(14)
14 = 28
This statement is not true.
Substituting x=12, x=29, and x=7 in the equation gives:
- x=12: 36 - 22 = 2(12) -> 14 = 24 (not true)
- x=29: 36 - 22 = 2(29) -> 14 = 58 (not true)
- x=7: 36 - 22 = 2(7) -> 14 = 14 (true)
Therefore, the solution that makes the equation true is x=7.
To figure out which solution makes the equation 36-22=2x true, we need to substitute each value of x into the equation and see if the equation is balanced.
Let's try the first solution, x=12:
Substituting x=12 into the equation, we get: 36-22=2(12) which simplifies to 14=24.
Since 14 does not equal 24, the equation is not true when x=12.
Now let's try the second solution, x=14:
Substituting x=14 into the equation, we get: 36-22=2(14) which simplifies to 14=28.
Again, 14 does not equal 28, so the equation is not true when x=14.
Moving on to the third solution, x=29:
Substituting x=29 into the equation, we get: 36-22=2(29) which simplifies to 14=58.
Once again, 14 does not equal 58, so the equation is not true when x=29.
Finally, let's try the fourth solution, x=7:
Substituting x=7 into the equation, we get: 36-22=2(7) which simplifies to 14=14.
This time, 14 does equal 14, so the equation is true when x=7.
Therefore, the solution that makes the equation 36-22=2x true is x=7.
To find the solution to the equation 36 - 22 = 2x, we need to solve for x.
Step 1: Subtract 22 from 36:
36 - 22 = 14
Step 2: Divide both sides by 2 to isolate x:
14/2 = 7
So, the solution to the equation is x = 7.