What is the solution to the equation 34x - 2 = 12x + 5?

SAT Linear equations in one variable Practice Question 13 (Medium)

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Math · AlgebraMedium

What is the solution to the equation $\frac{3}{4}x - 2 = \frac{1}{2}x + 5$ ?

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Answer: 28

Subtract $\frac{1}{2}x$ from both sides: $\frac{1}{4}x - 2 = 5$ . Add 2: $\frac{1}{4}x = 7$ . Multiply by 4: $x = 28$ .

Stopping at $\frac{1}{4}x = 7$ and giving 7 is a common error.

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