SAT Math · Linear equations in one variable · medium

If 3(2x+5) - 4 = 17, what is the value of 2x+5?

If 3(2x+5)−4=173(2x+5) - 4 = 17, what is the value of 2x+52x+5?

Answer and explanation

Answer: 7

Notice that the expression 2x+52x + 5 appears as a group, so you do not need to solve for xx. Add 4 to both sides of 3(2x+5)−4=173(2x+5) - 4 = 17 to get 3(2x+5)=213(2x+5) = 21. Divide by 3: 2x+5=72x + 5 = 7. As a check, x=1x = 1, and 3(7)−4=173(7) - 4 = 17. A common wrong answer is 21, which comes from stopping one step early, and another is 1, which is the value of xx, not the value of the expression asked for. A third is 133\frac{13}{3}, from forgetting to add the 4 before dividing. Always re-read what the question asks for.

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