Question
Solve for \( x \) : \[ \frac{1}{4} x-4=3 \] \( x= \)
Ask by Christensen Gardner. in Jamaica
Mar 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( x = 28 \)
Solution
1. Start with the equation:
\[
\frac{1}{4}x - 4 = 3
\]
2. Add \(4\) to both sides to isolate the term with \( x \):
\[
\frac{1}{4}x - 4 + 4 = 3 + 4 \quad \Longrightarrow \quad \frac{1}{4}x = 7
\]
3. Multiply both sides by \(4\) to solve for \( x \):
\[
4 \times \frac{1}{4}x = 7 \times 4 \quad \Longrightarrow \quad x = 28
\]
\( x = 28 \)
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Simplify this solution Mind Expander
To solve for \( x \), start by isolating \( x \) in the equation: \[ \frac{1}{4} x - 4 = 3 \] First, add 4 to both sides of the equation: \[ \frac{1}{4} x = 3 + 4 \] This simplifies to: \[ \frac{1}{4} x = 7 \] Next, to eliminate the fraction, multiply both sides by 4: \[ x = 7 \times 4 \] Which gives you: \[ x = 28 \] So, the solution is: \[ x = 28 \]
