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ASVAB · Algebra Basics and Equations

If 2(x + 3) = 16, what is the value of x?

Reviewed by Jordan Morley, Editorial Lead at 247SimpleTests. Written by the 247SimpleTests Editorial Team from the official source material cited on every question.

Correct answer

5

  1. A 11
  2. B 8
  3. C 5
  4. D 2.5

Why this is the answer

First distribute or divide. Dividing both sides by 2: x + 3 = 8. Then subtract 3: x = 5. Alternatively, distribute first: 2x + 6 = 16, then 2x = 10, so x = 5. Either order works. Check: 2(5 + 3) = 2(8) = 16. ✓ Equations with parentheses can be solved by distributing the multiplier or by dividing both sides by it first; dividing first is often quicker when the right side is divisible. The value of x is 5.
Source: ASVAB MK, Equations with Parentheses

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About this topic: Algebra Basics and Equations

Algebra basics cover solving linear equations and inequalities, working with expressions, substitution and simple systems. Do the same operation to both sides, and check your answer by substituting it back. This is one of 17 Mathematics Knowledge questions on algebra basics and equations, each with a full explanation on a single study page.

New to this exam? Our ASVAB exam guide explains the format, scoring, and how to prepare.

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