Quiz 3

Tyler tried to solve an equation step by step.

[tex]\[
\begin{array}{l}
3(x+4)=-18 \\
3x + 12 = -18 \quad \text{(Step 1)} \\
3x = -30 \quad \text{(Step 2)} \\
x = -10 \quad \text{(Step 3)} \\
\end{array}
\][/tex]

Find Tyler's mistake.

Choose one answer:
A. Step 1
B. Step 2
C. Step 3
D. Tyler did not make a mistake.



Answer :

To assess Tyler's solution, let's break down the steps and confirm each part of the solution:

### Original Equation:
[tex]\[ 3(x + 4) = -18 \][/tex]

### Step 1:
Distribute the 3 on the left-hand side:
[tex]\[ 3 \cdot x + 3 \cdot 4 = -18 \][/tex]
[tex]\[ 3x + 12 = -18 \][/tex]

### Step 2:
Subtract 12 from both sides to isolate the term with the variable \( x \):
[tex]\[ 3x + 12 - 12 = -18 - 12 \][/tex]
[tex]\[ 3x = -30 \][/tex]

### Step 3:
Divide both sides by 3 to solve for \( x \):
[tex]\[ \frac{3x}{3} = \frac{-30}{3} \][/tex]
[tex]\[ x = -10 \][/tex]

Based on the detailed steps, it's clear that each arithmetic operation was performed correctly without any errors.

### Conclusion:
Tyler did not make a mistake at any step of the solution. Everything from distributing the terms to isolating the variable and then solving for \( x \) was done accurately. Therefore, the correct answer is:

Tyler did not make a mistake.