Question
1. \( 2 x+7=15 \)
Ask by Osborne Sandoval. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = 4 \)
Solution
Sure, let's solve the equation step by step.
**Equation:**
\[ 2x + 7 = 15 \]
**Step 1: Subtract 7 from both sides**
\[
2x + 7 - 7 = 15 - 7
\]
\[
2x = 8
\]
**Step 2: Divide both sides by 2**
\[
\frac{2x}{2} = \frac{8}{2}
\]
\[
x = 4
\]
**Solution:**
\[ x = 4 \]
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Bonus Knowledge
To solve the equation \( 2x + 7 = 15 \), start by isolating the term with \( x \). Subtract 7 from both sides to get \( 2x = 8 \). Now, divide by 2 to find \( x = 4 \). Voilà! You've successfully found the value of \( x \). Did you know that similar linear equations have been used for centuries in various fields such as astronomy and architecture? Ancient Babylonian mathematicians even tackled equations like these, paving the way for modern algebra! They strived to find unknowns, much like we do today, showcasing the timeless nature of these fundamental concepts.