A student claims that x = −4 is a solution to −2x + 8 = 0. Evaluate that claim by substituting and determine the correct conclusion and solution set.

Both x = −4 and x = 4 satisfy the equation because substituting either value yields symmetric results for the positive and negative roots of the equation

No solution exists because the left side cannot equal zero for any real x

x = −4 is a valid solution because substituting gives −2 · (−4) + 8 = 0

The correct solution is x = 4