8th Grade Math Question of the Day

1. Exactly two solutions
2. No solutions
3. Infinitely many solutions (correct answer)
4. Exactly one solution

Explanation: Combine like terms on the left side: $5x-3x+4=2x+4$. Subtracting $2x$ from both sides gives $4=4$, which is always true regardless of the value of $x$. Since the variable cancels out and leaves a true statement, the equation has infinitely many solutions. This differs from an equation like $2x+4=2x+7$, where canceling the variable would leave a false statement (no solutions), or an equation like $3x+4=10$, which has exactly one solution.