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Question
Solve: `("6x" + 1)/2 + 1 = ("7x" - 3)/3`
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Solution
`("6x" + 1)/2 + 1 = ("7x" - 3)/3`
`=> ((6"x" + 1) + 1 xx 2)/2 = ("7x" - 3)/3`
`=> ("6x" + 1 + 2)/2 = ("7x" - 3)/3`
`=> ("6x" + 3)/2 = ("7x" - 3)/3`
⇒ 3(6x + 3) = 2(7x - 3)
⇒ 18x + 9 = 14x - 6
⇒ 18x - 14x = - 6 - 9
⇒ 4x = -15
∴ x = `(-15)/4`
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