16Hit1600
Advanced MathVery hardRational equation with a shared denominator

Advanced Math practice question

For what value of x does x/(x − 3) equal 2 + 6/(x − 3)?

Answer: 0

Multiply both sides by (x − 3): x = 2(x − 3) + 6 = 2x. So x = 0. Check: 0/(−3) = 0 and 2 + 6/(−3) = 0.

Common wrong answers

If you answered 3
3 makes the denominators zero and is not allowed.
If you answered 6
6 comes from x = 2x − 6, dropping the +6 on the right.
If you answered -6
−6 comes from x = 2x + 6 + 6 with a sign error.

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