https://file.aiquickdraw.com/mathbot/file/1725638896941mllvzp7h.jpg

The equation from the image is:

\[
\frac{x}{2} - 1 = 3
\]

Let's solve for \( x \):

1. Start by adding 1 to both sides to eliminate the constant on the left:
\[
\frac{x}{2} = 3 + 1
\]
\[
\frac{x}{2} = 4
\]

2. Multiply both sides by 2 to solve for \( x \):
\[
x = 4 \times 2
\]
\[
x = 8
\]

So, the solution is \( x = 8 \).

Would you like further details on this solution, or do you have any questions?

Here are five related questions to explore:

1. What if the equation was \( \frac{x}{3} - 1 = 3 \)?
2. How would you solve \( \frac{x}{2} + 5 = 10 \)?
3. How does solving an equation with fractions differ from whole numbers?
4. How can you check if your solution is correct?
5. What if the equation involved a negative fraction, such as \( \frac{-x}{2} - 1 = 3 \)?

**Tip:** When solving equations with fractions, it's often useful to eliminate the fraction early by multiplying through by the denominator.

Learn how to solve the linear equation (x/2) - 1 = 3 with a step-by-step explanation. This problem focuses on basic algebraic concepts, including isolating the variable and using properties of equality. Suitable for students in Grades 6-8.

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