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How many solutions can be found for the equation below?

x + 5 = x

Group of answer choices

Zero

One

Infinitely many

1 answer

To solve the equation \( x + 5 = x \), we can start by isolating \( x \).

  1. Subtract \( x \) from both sides: \[ x + 5 - x = x - x \] This simplifies to: \[ 5 = 0 \]

The equation \( 5 = 0 \) is a contradiction. Since this statement is never true, the original equation \( x + 5 = x \) has no solutions.

Thus, the answer is Zero.