# How do you solve #abs(x-5)+6=0#?

See explanation.

Such an equation must be converted into one that has a number on one side and an absolute value on the other in order to be solved:

Since the absolute value of the above equation is always either zero or positive and the right hand side is negative, the equation cannot be solved.

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To solve the equation |x - 5| + 6 = 0, you would first subtract 6 from both sides to isolate the absolute value term. Then, you would solve for the absolute value expression by setting it equal to zero and considering both the positive and negative cases for what's inside the absolute value bars.

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