Answer
The third step is wrong and the correct answer is $x=34$.
Work Step by Step
The given equation is
$\Rightarrow \frac{1}{4}(x-2)+4=12$
Subtract $4$ from each side.
$\Rightarrow \frac{1}{4}(x-2)+4-4=12-4$
Simplify.
$\Rightarrow \frac{1}{4}(x-2)=8$
Multiply each side by $4$.
$\Rightarrow 4\cdot \frac{1}{4}(x-2)=4\cdot 8$
Simplify.
$\Rightarrow x-2=32$
Add $2$ to each side.
$\Rightarrow x-2+2=32+2$
Simplify.
$\Rightarrow x=34$
Hence, the third step is wrong and the correct answer is $x=34$.
