Kevin recorded the distances he ran last week. The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday. How many miles did Kevin run on Wednesday?
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The total number of miles he ran on Monday through Wednesday is the same as the total number of miles he ran on Thursday and Friday.
x + (x + 9) + (x + 4) = 2x + (4x - 2)
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x + (x + 9) + (x + 4) = 2x + (4x - 2)
3x + 13 = 6x -2
6x - 3x = 13 + 2
3 x = 15
x = 15/3 miles
x = 5 miles
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5 + ( 5 + 9) + ( 5 + 4) = 2x + (4x - 2)
28 = 28
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on Wednesday
x=5
x+ 4 = 9
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Answer
On Wednesday he ran 9 miles
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