https://file.aiquickdraw.com/mathbot/file/1726416090599p8yszaoq.jpg

In the image, the equation being solved is \( ax + b = c \). The steps show solving for \( x \).

Here are the steps outlined:

1. Start with the equation: 
   \[
   ax + b = c
   \]

2. Subtract \( b \) from both sides:
   \[
   ax + b - b = c - b
   \]
   Simplifies to:
   \[
   ax = c - b
   \]

3. Divide both sides by \( a \) (since \( a \neq 0 \)):
   \[
   x = \frac{c - b}{a}
   \]

So, the final result is:
\[
x = \frac{c - b}{a}
\]

Would you like a detailed explanation of any step? Here are 5 relative questions:

1. What happens if \( a = 0 \) in the equation \( ax + b = c \)?
2. How can this method be applied to more complex equations?
3. What is the meaning of isolating \( x \) in an equation?
4. Can you solve this same equation using a graph?
5. What happens to the solution if \( b = 0 \)?

**Tip**: Always check that division by a variable does not involve zero, as it leads to undefined results.

Write what is in the right part of the equation ax + b = c and solve for x.

Learn how to solve the linear equation ax + b = c. This step-by-step explanation covers algebraic concepts like isolating the variable and performing basic operations to solve for x. Suitable for students in Grades 7-9.

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