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Question
Solve: `"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`
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Solution
`"x" - ("x" - 1)/2 = 1 - ("x" - 2)/3`
`=> (2("x") -1("x" - 1))/2 = (3(1) - 1("x" - 2))/3`
`=> (2"x" - "x" + 1)/2 = (3 - "x" + 2)/3`
`=> (1"x" + 1)/2 = (5 - "x")/3`
⇒ 3(x + 1) = 2(5 - x)
⇒ 3x + 3 = 10 - 2x
⇒ 3x + 2x = 10 - 3
⇒ 5x = 7
`therefore "x" = 7/5`
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