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Question

Solve: x+3x+2=3x-72x-3.

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Solution

x + 3x + 2 = 3x 72x 3(x + 3)(2x 3) = (x + 2)(3x 7)⇒ 2x2 3x + 6x 9 = 3x2 7x + 6x 143x2 7x + 6x 14 2x2 + 3x 6x + 9 = 0x2 4x 5 = 0x2 5x + x 5 = 0x(x 5) + 1(x 5) = 0 (x 5)(x + 1) = 0 x = 5, x = 1

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