SAT Math · Linear equations in one variable · medium

What is the value of x if (3x+1)/(5) - 2 = 6?

What is the value of xx if 3x+15−2=6\dfrac{3x+1}{5} - 2 = 6?

Answer and explanation

Answer: D: 13

Undo the operations in reverse order. Add 2 to both sides of 3x+15−2=6\frac{3x + 1}{5} - 2 = 6 to get 3x+15=8\frac{3x + 1}{5} = 8. Multiply by 5: 3x+1=403x + 1 = 40. Subtract 1: 3x=393x = 39. Divide by 3: x=13x = 13, choice D. Check: 3(13)+15−2=8−2=6\frac{3(13) + 1}{5} - 2 = 8 - 2 = 6. Choice A (11) gives 345−2=4.8\frac{34}{5} - 2 = 4.8, choice B (15) gives 465−2=7.2\frac{46}{5} - 2 = 7.2, and choice C (9) gives 285−2=3.6\frac{28}{5} - 2 = 3.6; none equals 6. Typical errors are subtracting 2 instead of adding it, or forgetting to multiply the 2 by 5.

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