SOLUTION:
Case: Simple linear equations
Given: x + 14 = -28
Initial method:
[tex]\begin{gathered} x+14=-28 \\ (x+14)-14=-28-14 \\ x=-14 \end{gathered}[/tex]
Spotting the mistake:
[tex]-28-14\ne-14[/tex]
Correcting the mistake:
[tex]\begin{gathered} x+14=-28 \\ Subtracting\text{ 14 from both sides} \\ (x+14)-14=-28-14 \\ x+14-14=-28-14 \\ x=-42 \end{gathered}[/tex]
Final answer:
x= -42
