Question
Which of the following shows the correct solution steps and solution to \( 7 x-4=-18 \) ? A. \[ \begin{aligned} 7 x-4 & =-18 \\ 7 x-4-4 & =-18-4 \\ 7 x & =-14 \\ \frac{7 x}{7} & =\frac{-14}{7} \end{aligned} \] \[ x=-2 \] B. \[ \begin{aligned} 7 x-4 & =-18 \\ 7 x-1+4 & =-18+4 \\ 7 x & =-22 \\ \frac{7 x}{7} & =\frac{-22}{7} \\ x & =\frac{-22}{7} \end{aligned} \] c. \[ \begin{aligned} 7 x-4 & =-18 \\ 7 x-4+4 & =-18+4 \\ 7 x & =-14 \\ \frac{7 x}{-7} & =\frac{-14}{-7} \\ x & =2 \end{aligned} \] D. \[ \begin{aligned} 7 x-4 & =-18 \\ 7 x-4+4 & =-18+4 \\ 7 x & =-14 \\ \frac{7 x}{7} & =\frac{-14}{7} \\ x & =-2 \end{aligned} \]
Ask by Newton Gray. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The correct solution is option D: \( x = -2 \).
Solution
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Bonus Knowledge
The correct solution steps and solution to \( 7 x-4=-18 \) are found in option A and option D. Both options correctly isolate \( x \) but A has misleading steps while D correctly identifies that dividing by \( 7 \) will indeed give you \( x = -2 \). Mistakes in setting up the equation can lead to incorrect results! Always double-check your steps to ensure each operation follows logically from the previous one—especially when dealing with signs and constants! A small slip can change \( -2 \) to \( 2 \) in a heartbeat!
