Grade 8 Math · Problem type

One, none or infinitely many?

Use this for “Does 5x + 2 = 5x − 9 have one solution, none, or infinitely many?”

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How many solutions does the equation have?
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Assumptions

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Multiply out and gather each side into ax + b first.
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Different numbers of x on each side: exactly one solution.
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The same x but different numbers: no solution. The same x and the same number: every x works.
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