SAT Math Practice Question #2176 (Hard) | Test Citadel
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SAT Math Difficulty: Hard

Digital SAT Math Practice Question #2176

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What is the set of all solutions to the statement $|2x - 4| + 5 = 15$?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Desmos Hack: Graph $y_1 = \text{Left Side}$ and $y_2 = \text{Right Side}$. Where they intersect are your exact solutions. If they never touch, no real solutions.

Masterclass Solution & Distractor Trap Analysis

Isolate absolute value first: $|2x - 4| = 10$. Then $2x - 4 = 10 \implies 2x = 14 \implies x = 7$. Or $2x - 4 = -10 \implies 2x = -6 \implies x = -3$....

Distractor Analysis: Trap choice eliminates careless test-takers who confuse roots with coordinates...

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