The value of x in the equation from the least to the greatest is -8 and -4.
How to find the variable in an equation?
[tex]\frac{1}{x+3}=\frac{x+10}{x-2}[/tex]
cross multiply
x - 2 = (x + 10)(x + 3)
x - 2 = x² + 3x + 10x + 30
x - 2 = x² + 13x + 30
x² + 13x - x + 30 + 2 = 0
x² + 12x + 32 = 0
x² + 4x + 8x + 32 = 0
x(x + 4) + 8(x + 4) = 0
(x + 4)(x + 8) = 0
x = -4 and x = -8
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