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.
