ACT Math Practice Question #2114 (Medium) | Test Citadel
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ACT Math Difficulty: Medium

Digital ACT Math Practice Question #2114

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If $\frac{2}{x} + \frac{3}{2x} = 7$, what is the value of $x$?
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Socratic AI Engine Step-by-Step Derivation
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⚡ 15-Second Desmos Speed Hack

Combine fractions: $\frac{4}{2x} + \frac{3}{2x} = \frac{7}{2x} = 7 \implies 2x = 1 \implies x = 1/2$.

Masterclass Solution & Distractor Trap Analysis

Multiply both sides by the common denominator $2x$: $2(2) + 3 = 7(2x) \implies 4 + 3 = 14x \implies 7 = 14x \implies x = \frac{7}{14} = \frac{1}{2}$....

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

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