To solve the equation [tex]\( a x + b = c \)[/tex] for [tex]\( x \)[/tex], follow these steps:
1. Isolate the term containing [tex]\( x \)[/tex]:
Start with the given equation:
[tex]\[
a x + b = c
\][/tex]
2. Subtract [tex]\( b \)[/tex] from both sides:
[tex]\[
a x + b - b = c - b
\][/tex]
This simplifies to:
[tex]\[
a x = c - b
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
Divide both sides of the equation by [tex]\( a \)[/tex]:
[tex]\[
x = \frac{c - b}{a}
\][/tex]
Thus, the solution to the equation [tex]\( a x + b = c \)[/tex] is:
[tex]\[
x = \frac{c - b}{a}
\][/tex]
From the provided choices, the correct answer is:
D. [tex]\(\boxed{\frac{c - b}{a}}\)[/tex]
