AlgebraMediumNested parentheses on both sides
Algebra practice question
What value of x satisfies 2(3x − 1) + 4 = 4x + 6?
Answer: 2
Expand: 6x − 2 + 4 = 4x + 6, so 6x + 2 = 4x + 6. Subtract 4x: 2x + 2 = 6. Subtract 2: 2x = 4, x = 2. Check: 2(5) + 4 = 14 and 8 + 6 = 14.
Common wrong answers
- If you answered 1
- 1 comes from 6x + 2 = 4x + 4 or a similar slip; the right side is 4x + 6.
- If you answered 4
- 4 comes from 6x − 2 = 4x + 6 — the +4 outside the parentheses was dropped.
- If you answered 0.5
- 0.5 comes from 6x + 2 = 4x + 3 — check the constants: 6 − 2 = 4, then 4 / 2 = 2.
More Algebra questions
- Medium
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Line k has equation y = (2/3)x + 1. Which equation represents a line perpendicular to line k?
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