To solve for [tex]\( x \)[/tex] in the equation [tex]\( -22 = -8 + 2x \)[/tex], follow these steps:
1. Isolate the term containing [tex]\( x \)[/tex]:
Move [tex]\(-8\)[/tex] to the left side of the equation by adding [tex]\(8\)[/tex] to both sides:
[tex]\[
-22 + 8 = -8 + 2x + 8
\][/tex]
Simplifying this, we get:
[tex]\[
-14 = 2x
\][/tex]
2. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by [tex]\(2\)[/tex] to isolate [tex]\( x \)[/tex]:
[tex]\[
\frac{-14}{2} = \frac{2x}{2}
\][/tex]
Simplifying this, we find:
[tex]\[
x = -7
\][/tex]
So, the solution is:
[tex]\[
x = -7
\][/tex]
