consider the equation x/a + b = c. solve the equation for b in terms of a,c and x.

To solve the equation \( \frac{x}{a} + b = c \) for \( b \), follow these steps:

### Given equation:
\[
\frac{x}{a} + b = c
\]

### Step 1: Isolate \( b \)
Subtract \( \frac{x}{a} \) from both sides of the equation:
\[
b = c - \frac{x}{a}
\]

### Final answer:
\[
b = c - \frac{x}{a}
\]

Would you like any additional details or have further questions?

Here are 5 related questions to extend the topic:

1. How would you solve the equation \( \frac{2x}{a} + b = c \) for \( b \)?
2. What happens if \( a = 0 \) in the equation \( \frac{x}{a} + b = c \)?
3. If \( c = 5 \), \( a = 2 \), and \( x = 6 \), what is the value of \( b \)?
4. How can we express \( a \) in terms of \( b \), \( c \), and \( x \) in the equation \( \frac{x}{a} + b = c \)?
5. How does the solution change if the equation were \( \frac{ax}{b} + c = d \)?

**Tip:** Always perform operations step by step when solving for a variable to avoid mistakes and make the process clearer.

Consider the equation x/a + b = c. Solve the equation for b in terms of a, c, and x.

Discover how to solve the equation x/a + b = c for b in terms of a, c, and x. This problem involves basic algebraic manipulation and is suitable for students in Grades 6-8.

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