https://file.aiquickdraw.com/mathbot/file/1725744702318yjz7xsel.jpg

https://file.aiquickdraw.com/mathbot/file/17257447023196ird6ar1.jpg

Let's focus on solving the equation from the second image: \( 8x - 2 = 30 \).

### Step-by-step solution:

1. **Add 2 to both sides**:
   \[
   8x - 2 + 2 = 30 + 2
   \]
   \[
   8x = 32
   \]

2. **Divide both sides by 8**:
   \[
   \frac{8x}{8} = \frac{32}{8}
   \]
   \[
   x = 4
   \]

So, the solution is \( x = 4 \).

Would you like more details or do you have any questions?

### Related Questions:
1. How do you check if the solution is correct?
2. What happens if you subtract from both sides instead of adding?
3. How can you represent this solution graphically?
4. What is the importance of isolating the variable in an equation?
5. How do you solve an equation with fractions?

### Tip:
Always verify your solutions by plugging the value of \( x \) back into the original equation to see if both sides are equal.

Learn how to solve the linear equation 8x - 2 = 30 with a step-by-step breakdown. This solution covers key algebraic concepts, including isolating the variable and solving using basic operations. Suitable for middle school students in Grades 6-8.

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