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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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