Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 7 \)
Solution
To solve the equation \( 7x - 3 = 46 \) for \( x \), follow these steps:
1. **Add 3 to both sides** of the equation to isolate the term with \( x \):
\[
7x - 3 + 3 = 46 + 3
\]
Simplifying both sides:
\[
7x = 49
\]
2. **Divide both sides by 7** to solve for \( x \):
\[
\frac{7x}{7} = \frac{49}{7}
\]
Simplifying both sides:
\[
x = 7
\]
**Solution:** \( x = 7 \)
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Simplify this solution Beyond the Answer
To solve for \( x \) in the equation \( 7x - 3 = 46 \), start by adding 3 to both sides to isolate the term with \( x \). This gives you \( 7x = 49 \). Then, divide both sides by 7, yielding \( x = 7 \). Voila! You’ve found \( x \)! Equations like this are not just numbers on a page; they represent real-world scenarios! For instance, if you're budgeting, \( x \) could symbolize your savings after weeks of setting aside money. Solving that equation helps you plan how much you’ll end up saving!
