To solve the equation [tex]\(-x = -11\)[/tex], we need to isolate [tex]\(x\)[/tex].
1. Start with the given equation:
[tex]\[
-x = -11
\][/tex]
2. To isolate [tex]\(x\)[/tex], we need to remove the negative sign from [tex]\(x\)[/tex]. We can do this by multiplying both sides of the equation by [tex]\(-1\)[/tex]:
[tex]\[
-1 \times (-x) = -1 \times (-11)
\][/tex]
3. Simplifying both sides:
[tex]\[
x = 11
\][/tex]
So, the solution to the equation [tex]\( -x = -11 \)[/tex] is:
[tex]\[
x = 11
\][/tex]
To check the solution, substitute [tex]\( x = 11 \)[/tex] back into the original equation:
1. Substitute [tex]\( 11 \)[/tex] for [tex]\( x \)[/tex] in the equation [tex]\( -x = -11 \)[/tex]:
[tex]\[
-(11) = -11
\][/tex]
2. Simplify the left-hand side:
[tex]\[
-11 = -11
\][/tex]
Since both sides of the equation are equal, the solution [tex]\( x = 11 \)[/tex] is correct.
