Question

If (2 1/2 ) x +(3 1/2 ) x =(13 1/2 ) x/2 , then the number of values of x is__________.

Answer 1

$2\frac12x+3\frac12x=13\frac12\frac{x}{2}\\\\\frac52x+\frac72x=\frac{27}2\frac{x}2\ \ \ \ \ /\cdot4\\\\10x+14x=27x\\3x=0\\x=0$

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It may be so?
$2\frac12x+3\frac12x=13\frac12x-2\\\\\frac52x+\frac72x=\frac{27}2x-2\ \ \ \ \ /\cdot2\\\\5x+7x=27x-4\\15x=4\\x=\frac4{15}$