Let's analyze the given equation step by step:

The equation:

$3 = 5 - \frac{4x}{3}$

We aim to solve for $x$.

Step 1: Isolate the term containing $x$.

Move $\frac{4x}{3}$ to one side and $3$ to the other: $\frac{4x}{3} = 5 - 3$

Simplify: $\frac{4x}{3} = 2$

Step 2: Eliminate the fraction by multiplying through by 3:

$4x = 2 \cdot 3$

Simplify: $4x = 6$

Step 3: Solve for $x$ by dividing both sides by 4:

$x = \frac{6}{4}$

Simplify: $x = 1.5$

Step 4: Match to the given answer options.

From the choices, the equivalent calculation for $x$ is: $x = (15 - 9) \div 4$

This is because:

• $15 - 9 = 6$, and $6 \div 4 = 1.5$, which matches the solution.

Final Answer:

The correct option is: $x = (15 - 9) \div 4$

Would you like a detailed explanation or assistance with related problems? Here are 5 related questions to expand understanding:

1. How do you isolate variables in linear equations?
2. What are the steps to clear fractions in an equation?
3. Why is dividing both sides by a coefficient important?
4. How can you check your solution for correctness?
5. How are linear equations applied in real-world contexts?

Tip: Always simplify equations step by step to avoid mistakes and verify your work by plugging the solution back into the original equation.