Let's solve the equation [tex]\(1 - 2x - 1 = -10\)[/tex] step by step.
Firstly, simplify the left-hand side of the equation:
[tex]\[1 - 2x - 1 = -10\][/tex]
Notice that [tex]\(1 - 1\)[/tex] simplifies to 0, so we are left with:
[tex]\[-2x = -10\][/tex]
Next, we want to solve for [tex]\(x\)[/tex]. To do this, we need to isolate [tex]\(x\)[/tex]. Divide both sides of the equation by [tex]\(-2\)[/tex]:
[tex]\[
x = \frac{-10}{-2}
\][/tex]
Simplify the fraction:
[tex]\[
x = 5
\][/tex]
Therefore, the solution to the equation [tex]\(1 - 2x - 1 = -10\)[/tex] is [tex]\(x = 5\)[/tex].
So, the correct answer is:
B. [tex]\(x = 5\)[/tex]