Answer
The equation has no solution.
Work Step by Step
The given equation is
$\Rightarrow |x-1|+5=2$
Subtract $5$ from each side.
$\Rightarrow |x-1|+5-5=2-5$
Simplify.
$\Rightarrow |x-1|=-3$
The absolute value of an expression must be greater than or equal to zero.
The expression $|x-1|$ cannot equal $-3$.
So, the equation has no solution.
