Give step-by-step solution with explanation and final answer:
(give me anwer without using bullet points

Question

VIPSolutions · Accepted Answer

## Problem Statement

Solve step-by-step and explain:
$$
\frac{3x - 7}{4} = 5
$$

## Solution

First, isolate the fraction by multiplying both sides by 4 to eliminate the denominator:

$$
 \cdot \frac{3x - 7}{4} = 4 \cdot 5
$$
$$
3x - 7 = 20
$$

Next, add 7 to both sides to isolate the term with $x$:

$$
3x - 7 + 7 = 20 + 7
$$
$$
3x = 27
$$

Now, divide both sides by 3 to solve for $x$:

$$
\frac{3x}{3} = \frac{27}{3}
$$
$$
x = 9
$$

## Final Answer

The solution is $x = 9$.

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