Question
Homework: 1. \( 3(x+2)=18 \)
Ask by Colon Greene. 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.
**Given Equation:**
\[ 3(x + 2) = 18 \]
**Step 1: Distribute the 3**
\[ 3 \times x + 3 \times 2 = 18 \]
\[ 3x + 6 = 18 \]
**Step 2: Subtract 6 from both sides to isolate the term with \( x \)**
\[ 3x + 6 - 6 = 18 - 6 \]
\[ 3x = 12 \]
**Step 3: Divide both sides by 3 to solve for \( x \)**
\[ \frac{3x}{3} = \frac{12}{3} \]
\[ x = 4 \]
**Solution:**
\[ x = 4 \]
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Simplify this solution Extra Insights
To solve the equation \( 3(x+2)=18 \), start by dividing both sides by 3 to simplify it: \( x+2=6 \). Next, subtract 2 from both sides to isolate \( x \): \( x=6-2 \), which gives you \( x=4 \). Easy peasy, lemon squeezy! Now, here's a neat trick: Always double-check your answer by plugging it back into the original equation. If \( 3(4+2)=18 \) holds true, you know you've solved it correctly! It’s a great habit that’ll save you from pesky mistakes.
