Select the best answer for the question.
Solve for x in the equation x – 4 = 7.
A. A.X=-3
B . B.x = 11
C. X=28
D. X=3
The Correct Answer and Explanation is:
The given equation is:
[
x – 4 = 7
]
To solve for ( x ), we need to isolate ( x ) on one side of the equation. Here are the steps to solve the equation:
- Start with the equation:
[
x – 4 = 7
] - Add 4 to both sides of the equation to cancel out the “-4” on the left side. This step helps to isolate ( x ):
[
x – 4 + 4 = 7 + 4
] This simplifies to:
[
x = 11
]
So, the value of ( x ) is 11.
Explanation of the Steps:
- The goal in solving any equation is to isolate the variable (in this case, ( x )) on one side. To achieve this, you perform operations that maintain the equality of the equation.
- In this example, the equation involves subtracting 4 from ( x ). To reverse this, you add 4 to both sides of the equation. This is because adding 4 on the left side cancels out the subtraction of 4, leaving ( x ) alone. Similarly, adding 4 to the right side maintains the balance of the equation.
Answer:
The correct answer is B. x = 11.
Verification:
To verify the solution, we can substitute ( x = 11 ) back into the original equation:
[
x – 4 = 7
]
Substituting ( x = 11 ):
[
11 – 4 = 7
]
This is true, so the solution is correct.
Thus, the correct value of ( x ) is 11, and the correct answer is B. x = 11.