Question

the equation $-3x + 6 = 4(-2x + 3)$ can be solved using some of the steps that are shown in the table below.
complete the table to determine which steps are correct and which steps are incorrect. select correct or incorrect for each option.

steps	correct	incorrect
$-3x + 6 = -8x + 12$	$\bigodot$	$\bigcirc$
$9 = -11x$	$\bigcirc$	$\bigodot$
$-6 = -5x$	$\bigcirc$	$\bigodot$

Explanation:

Step1: Check first step

Original RHS: $4(-2x + 3) = -8x + 12$. First step RHS is $-8x + 3$ (wrong multiplication).

Step2: Check second step

Second step RHS is $-8x + 12$ (correct distribution).

Step3: Check third step

From correct second step: $-3x + 6 = -8x + 12$. Add $8x$: $5x + 6 = 12$. Subtract 6: $5x = 6$. Third step is wrong.

Step4: Check fourth step

From correct second step: $-3x + 6 = -8x + 12$. Subtract $6$: $-3x = -8x + 6$. Subtract $-8x$: $5x = 6$ → $-6 = -5x$ (equivalent, correct).

Answer:

• $-3x + 6 = -8x + 3$: Incorrect
• $-3x + 6 = -8x + 12$: Correct
• $9 = -11x$: Incorrect
• $-6 = -5x$: Correct