Explanation:
Given that:
[tex]\frac{1}{4}\left(x-2\right)+4=12[/tex]
We will simplify the equation as shown below:
[tex]\begin{gathered} \frac{1}{4}(x-2)+4=12 \\ \text{Subtract ''4'' from both sides, we have:} \\ \frac{1}{4}(x-2)=12-4 \\ \frac{1}{4}(x-2)=8 \\ \text{Multiply both sides by ''4'', we have:} \\ x-2=8(4) \\ x-2=32 \\ \text{Add ''2''}to\text{ both sides, we have:} \\ x=32+2 \\ x=34 \end{gathered}[/tex]
The error was that instead of multiplying both sides by 4 at line 3 of the question, the person multiplied by 1/4
