To solve the equation:

\[
10 = \frac{3}{4}x - 8
\]

### Step 1: Isolate the term with \(x\).
Add \(8\) to both sides of the equation:

\[
10 + 8 = \frac{3}{4}x
\]

\[
18 = \frac{3}{4}x
\]

### Step 2: Solve for \(x\).
To eliminate the fraction, multiply both sides by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\):

\[
x = 18 \times \frac{4}{3}
\]

\[
x = \frac{18 \times 4}{3} = 24
\]

So, \(x = 24\).

### Final answer:
\[
x = 24
\]

Would you like further details or have any questions?

Here are 5 related questions you might find helpful:
1. How do you solve equations involving multiple fractions?
2. What are reciprocal values, and how do they help in solving equations?
3. How do you check if the solution to a linear equation is correct?
4. Can you solve the equation \(7 = \frac{5}{2}x - 9\)?
5. What is the general process for solving multi-step equations?

**Tip:** Always simplify the equation step by step to avoid mistakes in algebraic manipulation.

Learn how to solve the linear equation 10 = 3/4x - 8 with a detailed step-by-step guide. This problem covers key algebraic concepts such as isolating the variable, working with fractions, and reciprocal multiplication. Suitable for students in Grades 7-9.

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