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What is the solution to [tex]$x + 11 = 26?$[/tex]

A. [tex]$x = 15$[/tex]

B. [tex][tex]$x = 22$[/tex][/tex]

C. [tex]$x = 11$[/tex]

D. [tex]$x = 37$[/tex]

Sagot :

GinnyAnswer
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]
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