To solve the equation [tex]\(a + b x = c\)[/tex] for [tex]\(x\)[/tex], we will perform algebraic manipulation step-by-step.
1. Start with the given equation:
[tex]\[
a + b x = c
\][/tex]
2. Isolate the term involving [tex]\(x\)[/tex] by subtracting [tex]\(a\)[/tex] from both sides of the equation:
[tex]\[
a + b x - a = c - a
\][/tex]
Simplifying this, we get:
[tex]\[
b x = c - a
\][/tex]
3. Next, solve for [tex]\(x\)[/tex] by dividing both sides of the equation by [tex]\(b\)[/tex]:
[tex]\[
x = \frac{c - a}{b}
\][/tex]
So, the solution to the equation [tex]\(a + b x = c\)[/tex] when solved for [tex]\(x\)[/tex] is:
[tex]\[
x = \frac{c - a}{b}
\][/tex]
Therefore, the correct answer is:
B) [tex]\(x = \frac{c - a}{b}\)[/tex]
