To solve the equation [tex]\(-f x - g = h\)[/tex] for [tex]\(x\)[/tex], follow these steps:
1. Isolate the term containing [tex]\(x\)[/tex]:
Add [tex]\(g\)[/tex] to both sides of the equation to move the constant term to the right side:
[tex]\[
-f x - g + g = h + g
\][/tex]
Simplifying this, we get:
[tex]\[
-f x = h + g
\][/tex]
2. Solve for [tex]\(x\)[/tex]:
Divide both sides of the equation by [tex]\(-f\)[/tex] to isolate [tex]\(x\)[/tex]:
[tex]\[
x = \frac{h + g}{-f}
\][/tex]
So, the correct form of the equation that solves for [tex]\(x\)[/tex] is:
[tex]\[
x = \frac{h + g}{-f}
\][/tex]
Therefore, the correct answer is:
D. [tex]\(x = \frac{h + g}{-f}\)[/tex]
