The given equation is
[tex]2x-2=14[/tex]
The student's solution is shown below
From the student's solution,
The student made a mistake by subtracting 2 from both sides of the equation instead of adding 2
b.
The right solution for x is shown below
Given
[tex]2x-2=14[/tex]
Add 2 to both sides of the equation
[tex]\begin{gathered} 2x-2+2=14+2 \\ \Rightarrow2x=16 \end{gathered}[/tex]
Divide both sides of the equation by 2
This gives
[tex]\begin{gathered} \frac{2x}{2}=\frac{16}{2} \\ x=8 \end{gathered}[/tex]
Therefore, the solution is x = 8
