Evaluate |x-1|+5=2

$| x - 1 | + 5 = 2$

Move all terms not containing $| x - 1 |$ to the right side of the equation.

Subtract $5$ from both sides of the equation.

$| x - 1 | = 2 - 5$

Subtract $5$ from $2$ .

$| x - 1 | = - 3$

There is no value of $x$ that makes the equation be true since an absolute value can never be negative.

No solution