SOLUTION: 2|3X-7|=10X-8

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Question 337412: 2|3X-7|=10X-8
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
2%2Aabs%283X-7%29=10X-8
abs%283X-7%29=5X-4
Two solutions:
3X-7=5X-4 and -%283X-7%29=5X-4
-2X=3 and -3X%2B7=5X-4
X=-3%2F2 and -8X=-11
X=-3%2F2 and X=11%2F8
Verify the solutions.
2%2Aabs%283%28-3%2F2%29-7%29=10%28-3%2F2%29-8
Absolute value cannot return negative values so X=-3%2F2 is not a solution.
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2%2Aabs%283%2811%2F8%29-7%29=10%2811%2F8%29-8
2%2Aabs%2833%2F8-56%2F8%29=110%2F8-64%2F8
2%2Aabs%28-23%2F8%29=46%2F8
2%2A%2823%2F8%29=46%2F8
46%2F8=46%2F8
Answer verified.
highlight%28X=11%2F8%29
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