Final answer:
The equation |x-5|=-7 has 1 solution.
Step-by-step explanation:
To determine the number of solutions to the equation |x-5|=-7, we need to understand the concept of absolute value. The absolute value of x-5 is equal to -7 when x-5 is equal to 7 (since the absolute value of a number cannot be negative). So, x-5=7. Solving for x, we find x=12. Therefore, the equation has 1 solution.
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