Which numbers are solutions of the equation?

\[ |5 - 4x| - 3 = 4 \]

∣5 − 4 x ∣ − 3 = 4 / + 3 ∣5 − 4 x ∣ = 7 ⟺ 5 − 4 x = 7 ∨ 5 − 4 x = − 7 − 4 x = 7 − 5 ∨ − 4 x = − 7 − 5 − 4 x = 2 / : ( − 4 ) ∨ − 4 x = − 12 / : ( − 4 ) x = − 4 2 ​ ∨ x = − 4 − 12 ​ x = 2 1 ​ ∨ x = 3

Answered by Anonymous | 2024-06-10

The solutions to the equation ∣5 − 4 x ∣ − 3 = 4 are x = − 2 1 ​ and x = 3 . Both solutions satisfy the original equation when substituted back. Consequently, we have confirmed the solutions through verification.
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Answered by Anonymous | 2024-12-24