To solve the equation $3 = \frac{4x + 31}{5}$ for $x$, follow these steps:

Step 1: Eliminate the denominator by multiplying both sides by 5

$5 \cdot 3 = 5 \cdot \frac{4x + 31}{5}$ $15 = 4x + 31$

Step 2: Isolate $4x$ by subtracting 31 from both sides

$15 - 31 = 4x$ $-16 = 4x$

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

$x = \frac{-16}{4}$ $x = -4$

Final Answer:

$x = -4$

Would you like a more detailed explanation or assistance with similar problems?

5 Related Questions:

1. How do you solve equations with fractions in general?
2. What happens when the denominator of a fraction in an equation is 0?
3. How can you verify your solution to a linear equation?
4. What are some strategies for solving multi-step equations?
5. How does isolating variables work when there are coefficients?

Tip:

Always simplify equations step by step to avoid errors, especially when fractions are involved.