Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -40 \)
Solution
To solve the equation:
\[
\frac{x}{4} + 3 = -7
\]
follow these steps to find the value of \( x \):
### Step 1: Subtract 3 from Both Sides
First, isolate the term containing \( x \) by subtracting 3 from both sides of the equation:
\[
\frac{x}{4} + 3 - 3 = -7 - 3
\]
Simplifying both sides:
\[
\frac{x}{4} = -10
\]
### Step 2: Multiply Both Sides by 4
To solve for \( x \), multiply both sides of the equation by 4 to eliminate the denominator:
\[
4 \times \frac{x}{4} = -10 \times 4
\]
Simplifying:
\[
x = -40
\]
### Conclusion
The solution to the equation \( \frac{x}{4} + 3 = -7 \) is:
\[
x = -40
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
To solve the equation \( \frac{x}{4}+3=-7 \), start by isolating the term with \( x \). Subtract 3 from both sides: \( \frac{x}{4} = -10 \). Now, to eliminate the fraction, multiply both sides by 4: \( x = -40 \). Voilà! You’ve just found that \( x = -40 \)! This method of isolating variables is fundamental in algebra. It’s a go-to strategy not just for simple equations, but also for complex ones. Mastering this skill can ease your journey through algebra, calculus, and beyond. Plus, think of all the \( x \)-marks you could be earning in class!
