Question
s) \( 3 x+20=8 \)
Ask by Kelly Munoz. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( x = -4 \)
Solution
Sure, let's solve the equation step by step:
\[
3x + 20 = 8
\]
**Step 1: Subtract 20 from both sides**
\[
3x + 20 - 20 = 8 - 20
\]
\[
3x = -12
\]
**Step 2: Divide both sides by 3 to solve for \( x \)**
\[
\frac{3x}{3} = \frac{-12}{3}
\]
\[
x = -4
\]
**Solution:**
\[
x = -4
\]
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Bonus Knowledge
To solve the equation \( 3x + 20 = 8 \), start by isolating the term with \( x \) on one side. Subtract 20 from both sides to get \( 3x = 8 - 20 \), which simplifies to \( 3x = -12 \). Next, divide both sides by 3 to find \( x = -4 \). Voilà! You've solved for \( x \)! Now, let's have some fun with equations! Did you know that linear equations like this are foundational in algebra? They show up everywhere, from calculating budgets to determining distances. So next time you're balancing your spending, just think of it as solving little mysteries with numbers!