# If x is a real number, for what values of x is the equation (3x-6)(x-2)^{-1}=3 true. F. all values of x G. some values of x H. no values of x l. impossible to determine

If x is a real number, for what values of x is the equation $\left(3x-6\right)\left(x-2{\right)}^{-1}=3$ true.
F. all values of x G. some values of x H. no values of x l. impossible to determine
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Alix Ortiz
$\left(3x-6\right)\left(x-2{\right)}^{-1}=3$
$\frac{3x-6}{x-2}=3$
$3x-6=3\left(x-2\right)$
$3x-6=3x-6$
Since this is true for all values of x with the exception of $x={2}^{1}$, so the answer choice is G.
Note:(1) if $x=2$, we are dividing by 0, bit we cant