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Question
Solve: `("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1`
Solution
`("x" + 2)/3 - ("x" + 1)/5 = ("x" - 3)/4 - 1` ...(L.C.M. of 3 and 5 = 15)
`=> (5("x" + 2) - 3("x" + 1))/15 = ("x" - 3 - 4)/4`
`=> (5"x" + 10 - 3"x" - 3)/15 = ("x" - 7)/4`
`=> (2"x" + 7)/15 = ("x" - 7)/4`
⇒ 4(2x + 7) = 15(x - 7)
⇒ 8x + 28 = 15x - 105
⇒ 8x - 15x = -105 - 28
⇒ -7x = - 133
x = `(-133)/(-7)`
∴ x = 19
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