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

User Pandemonium
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2x-3\geq0\\2x\geq3\\x\geq(3)/(2)\\\\|x+8|=2x-3\\\\x+8=2x-3 \vee x+8=-2x+3\\\\x=11 \vee 3x=-5\\\\x=11 \vee x=-(5)/(3)\\\\-(5)/(3)\\ot \geq (3)/(2)\\\\\boxed{x=11}

User Mark Ma
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