Solve the following equation |x+8|=2x-3

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12-10-2018
Mathematics

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Solve the following equation |x+8|=2x-3

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konrad509 konrad509 · Answer 1 · 2018-10-24T17:46:51+02:00

konrad509 konrad509

24-10-2018

[tex]2x-3\geq0\\2x\geq3\\x\geq\dfrac{3}{2}\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-\dfrac{5}{3}\\\\-\dfrac{5}{3}\not \geq \dfrac{3}{2}\\\\\boxed{x=11}[/tex]

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