To solve for \(x\) in the equation:

\[
\frac{1}{2} \times \frac{3}{4} = x - \frac{1}{8},
\]

we first need to simplify the multiplication on the left side and then solve for \(x\).

### Step-by-Step Solution:

1. **Multiply the fractions on the left side**:

\[
\frac{1}{2} \times \frac{3}{4} = \frac{1 \times 3}{2 \times 4} = \frac{3}{8}.
\]

So, the equation becomes:

\[
\frac{3}{8} = x - \frac{1}{8}.
\]

2. **Add \(\frac{1}{8}\) to both sides to solve for \(x\)**:

\[
\frac{3}{8} + \frac{1}{8} = x.
\]

3. **Add the fractions on the left side**:

\[
\frac{3}{8} + \frac{1}{8} = \frac{3 + 1}{8} = \frac{4}{8}.
\]

4. **Simplify the fraction**:

\[
\frac{4}{8} = \frac{1}{2}.
\]

So, 

\[
x = \frac{1}{2}.
\]

### Final Answer:

\[
x = \frac{1}{2}.
\]

Would you like more details or have any questions?

---

Here are some related questions for further practice:

1. Solve for \(x\): \(\frac{2}{3} \times \frac{5}{6} = x + \frac{1}{4}\).
2. How do you solve equations that involve fractions and decimals?
3. What is the sum of \(\frac{1}{8}\) and \(\frac{5}{8}\)?
4. How do you convert \(\frac{1}{2}\) to a decimal?
5. What is the result of multiplying \(\frac{1}{2}\) by \(\frac{4}{5}\)?

**Tip:** When solving equations involving fractions, it's often helpful to get a common denominator to simplify the equation more easily.

Learn how to solve the equation 1/2 * 3/4 = x - 1/8 step-by-step with detailed explanations. This problem involves fractions and basic equation solving. Suitable for students in Grades 6-8.

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