Let's solve the equation:

\[
\frac{x}{2} + 1 = 5
\]

1. Subtract 1 from both sides:

\[
\frac{x}{2} = 5 - 1
\]
\[
\frac{x}{2} = 4
\]

2. Multiply both sides of the equation by 2 to isolate \(x\):

\[
x = 4 \times 2
\]
\[
x = 8
\]

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

Would you like more details or have any questions about this solution?

Here are some related questions:
1. How do you solve equations with fractions like \(\frac{x}{3} + 2 = 7\)?
2. What happens if the equation had \(\frac{x}{2} - 1 = 5\) instead?
3. How can you check if \(x = 8\) is the correct solution?
4. What is the inverse operation of adding 1 to an equation?
5. How do you solve an equation with a negative term like \(\frac{x}{3} + 4 = -2\)?

Tip: When you have a fraction in an equation, multiplying both sides by the denominator helps eliminate the fraction quickly.

Learn how to solve the linear equation x/2 + 1 = 5 with a step-by-step solution. This process covers essential algebraic concepts such as isolating variables and using inverse operations to find x. Suitable for students in Grades 6-8.

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