To solve the equation [tex]\(x + 11 = 26\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Identify the equation:
The equation given is:
[tex]\[x + 11 = 26\][/tex]
2. Isolate the variable [tex]\(x\)[/tex]:
To solve for [tex]\(x\)[/tex], we need to get [tex]\(x\)[/tex] by itself on one side of the equation. We do this by eliminating the constant term on the same side as [tex]\(x\)[/tex]. In this case, it is the [tex]\(11\)[/tex].
3. Subtract 11 from both sides of the equation:
To eliminate the constant term [tex]\(11\)[/tex] on the left side of the equation, we subtract [tex]\(11\)[/tex] from both sides:
[tex]\[x + 11 - 11 = 26 - 11\][/tex]
4. Simplify both sides:
On the left side, [tex]\(11 - 11\)[/tex] cancels out, leaving:
[tex]\[x = 26 - 11\][/tex]
On the right side, perform the subtraction:
[tex]\[26 - 11 = 15\][/tex]
5. Solution:
Therefore, the value of [tex]\(x\)[/tex] is:
[tex]\[x = 15\][/tex]
So, the correct answer is:
A. [tex]\(x = 15\)[/tex]
