The equation provided in the image is:

$\frac{1}{4}x - 3 = 4$

Let's solve it step by step.

Step 1: Isolate the variable term

First, add 3 to both sides of the equation to eliminate the -3.

$\frac{1}{4}x - 3 + 3 = 4 + 3$ $\frac{1}{4}x = 7$

Step 2: Eliminate the fraction

To get rid of the fraction, multiply both sides of the equation by 4.

$4 \times \frac{1}{4}x = 4 \times 7$ $x = 28$

Final Solution:

The value of $x$ is $28$.

Would you like more details or have any further questions?

Here are some related questions to explore:

1. How would the solution change if the equation was $\frac{1}{3}x - 3 = 4$?
2. Can you solve for $x$ in an equation with two variables, like $\frac{1}{4}x - 3 = y$?
3. What happens if the fraction is more complex, such as $\frac{2}{5}x - 3 = 4$?
4. How would you solve an equation with a negative fraction, such as $-\frac{1}{4}x - 3 = 4$?
5. How do you check if your solution to an equation is correct?

Tip: Always double-check your work by plugging the solution back into the original equation!