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Tyler tried to solve an equation step by step. {:[3(x+4),=-18,],[3x+12,=-18," Step 1 "],[3x,=-30," Step 2 "],[x,=-10," Step 3 "]:} Find Tyler's mistake. Choose 1 answer: (A) Step 1 (B) Step 2 (c) Step 3 (D) Tyler did not make a mistake.

Tyler tried to solve an equation step by step.\newline3(x+4)=−183x+12=−18 Step 13x=−30 Step 2x=−10 Step 3 \begin{array}{l} 3(x+4)=-18 \\ 3 x+12=-18 \quad \text { Step } 1 \\ 3 x=-30 \quad \text { Step } 2 \\ x=-10 \quad \text { Step } 3 \\ \end{array} \newlineFind Tyler's mistake.\newlineChoose 11 answer:\newline(A) Step 11\newline(B) Step 22\newline(C) Step⁡3 \operatorname{Step} 3 \newline(D) Tyler did not make a mistake.

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Full solution

Q. Tyler tried to solve an equation step by step.\newline3(x+4)=−183x+12=−18 Step 13x=−30 Step 2x=−10 Step 3 \begin{array}{l} 3(x+4)=-18 \\ 3 x+12=-18 \quad \text { Step } 1 \\ 3 x=-30 \quad \text { Step } 2 \\ x=-10 \quad \text { Step } 3 \\ \end{array} \newlineFind Tyler's mistake.\newlineChoose 11 answer:\newline(A) Step 11\newline(B) Step 22\newline(C) Step⁡3 \operatorname{Step} 3 \newline(D) Tyler did not make a mistake.
  1. Distribute 33 across parentheses: Tyler starts with the equation 3(x+4)=−183(x + 4) = -18. To solve for xx, he first distributes the 33 across the parentheses in Step 11, resulting in 3x+12=−183x + 12 = -18.
  2. Subtract 1212 from both sides: In Step 22, Tyler subtracts 1212 from both sides to isolate the term with xx, which gives 3x=−303x = -30.
  3. Divide both sides by 33: Finally, in Step 33, Tyler divides both sides by 33 to solve for xx, resulting in x=−10x = -10.

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