https://file.aiquickdraw.com/mathbot/file/1726237143539cmz3cbo8.jpg

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!

Learn how to solve the linear equation (1/4)x - 3 = 4 with a step-by-step solution. This problem involves isolating the variable, removing fractions, and solving basic algebra. Ideal for students in Grades 6-8.

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