To solve the equation
[tex]\[
-1 = -6 + \frac{x}{2}
\][/tex]
we will follow these steps:
1. Isolate the fraction term:
Start by adding 6 to both sides of the equation to move the constant term [tex]\(-6\)[/tex] from the right-hand side to the left-hand side:
[tex]\[
-1 + 6 = -6 + \frac{x}{2} + 6
\][/tex]
Simplify the left side:
[tex]\[
5 = \frac{x}{2}
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
To isolate [tex]\(x\)[/tex], multiply both sides of the equation by 2 (which is the denominator of the fraction):
[tex]\[
5 \times 2 = \frac{x}{2} \times 2
\][/tex]
Simplify both sides:
[tex]\[
10 = x
\][/tex]
Thus, the solution to the equation is
[tex]\[
x = 10
\][/tex]
So the correct answer from the given options is:
[tex]\[
\boxed{10}
\][/tex]
