To find the value of \(x\), we first need to express the sides of the triangle in terms of \(x\):
- One side measures \(x\).
- The second side measures \(12\).
- The third side, which is 4 less than \(x\), can be written as \(x - 4\).
The perimeter of a triangle is the sum of all its sides, and in this case, we know the perimeter is 26. Therefore, we can write the equation for the perimeter as follows:
\[ x + 12 + (x - 4) = 26 \]
Now, simplifying the left side of the equation:
\[ x + 12 + x - 4 = 26 \] \[ 2x + 8 = 26 \]
This matches the structure of the equations given, and we see this can be rearranged to the equivalent form:
\[ x + x - 4 + 12 = 26 \]
Thus, the correct equation to find the value of \(x\) is:
\[ \boxed{x + x - 4 + 12 = 26} \]
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