Question

$(2 + x)(7 - x) \div (5 - x)(4 + x) = 1$
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Answer 1

Step-by-step explanation:

$\frac{(2 + x)(7 - x)}{(5 - x)(4 + x)} = 1 \\ \frac{14 - 2x + 7x - {x}^{2} }{20 + 5x - 4x - {x}^{2} } = 1 \\ 14 + 5x - {x }^{2} = 20 + x - {x}^{2} \\ 6 = 4x \\ x = \frac{3}{2}$