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Question
Solve: `(3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"`
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Solution
`(3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"`
`= (3"x" - 2)/4 - ("2x" + 3)/3 = 2/3 - "x"/1`
`= (3(3"x" - 2) - 4(2"x" + 3))/12= (2 xx1)/(3 xx 1) - ("x" xx 3)/(1 xx 3)`
`=(9"x" - 6 - "8x" - 12)/12 = (2 - "3x")/3`
`= ("x" - 18)/12 = (2 - "3x")/3`
= 3(x - 18) = 12(2 - 3x)
= 3x - 54 = 24 - 36x
= 3x + 36x = 24 + 54
= 39x = 78
`"x" = 78/39 = 2`
∴ x = 2
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