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BabaBlast [244]
3 years ago
8

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

Mathematics
1 answer:
Aleks04 [339]3 years ago
7 0

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}

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