To solve the equation [tex]\( y = x + 8 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here are the steps to do this:
1. Start with the given equation:
[tex]\[
y = x + 8
\][/tex]
2. Subtract 8 from both sides of the equation to isolate [tex]\( x \)[/tex]:
[tex]\[
y - 8 = x + 8 - 8
\][/tex]
3. Simplify the right-hand side:
[tex]\[
y - 8 = x
\][/tex]
4. Rewrite the equation with [tex]\( x \)[/tex] on the left side to get the final form:
[tex]\[
x = y - 8
\][/tex]
Therefore, the correct answer is:
[tex]\[
x = y - 8
\][/tex]
