To solve the equation:

$\frac{x}{4} - 7 = -3$

Step 1: Isolate the term with $x$.

Add 7 to both sides of the equation to move the constant to the right side:

$\frac{x}{4} = -3 + 7$

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

Step 2: Eliminate the fraction.

Multiply both sides of the equation by 4 to solve for $x$:

$x = 4 \times 4$

$x = 16$

Thus, the solution is:

$x = 16$

Would you like a detailed explanation of any step? Or do you have any further questions?

Here are 5 related questions you could explore next:

1. How would the solution change if the equation had been $\frac{x}{4} + 7 = -3$?
2. How do you solve equations with fractions in general?
3. What is the process for solving equations involving both fractions and decimals?
4. Can you solve equations with multiple variables like $\frac{x}{4} - \frac{y}{3} = 5$?
5. What happens if there are parentheses in equations like $\frac{x+2}{4} = 6$?

Tip: Always start by isolating the variable before performing any operations. This makes the problem easier to solve.