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7X - 1 = 2X + 2
subtract 2X from each side
7X - 2X - 1 = 2X - 2X + 2
5X - 1 = 2
add 1 to each side
5X - 1 + 1 = 2 + 1
5X = 3
divide both sides integers by 5
(5/5)X = 3/5
X = 3/5
--------------check in original equation
7(3/5) - 1 = 2(3/5) + 2
21/5 - 1 = 6/5 + 2 (1 = 5/5 and 2 = 10/5 )
21/5 - 5/5 = 6/5 + 10/5
16/5 = 16/5
----------------------checks
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Not sure what you mean; that equation certainly has a solution.
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