What value of x satisfies the equation 2x + 13 = x - 42?

SAT Linear equations in one variable Practice Question 9 (Medium)

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Question bank / Linear equations in one variable

Math · AlgebraMedium

What value of $x$ satisfies the equation $\frac{2x + 1}{3} = \frac{x - 4}{2}$ ?

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Answer: -14

Cross-multiply: $2(2x + 1) = 3(x - 4)$ . Distribute: $4x + 2 = 3x - 12$ . Subtract $3x$ and 2 from both sides: $x = -14$ .

A sign slip when moving the 2 across gives $x = -10$ instead of $-14$ .

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