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-9\times 2x=2\times 2\left(-3\right)
Multiply both sides of the equation by -3.
-18x=2\times 2\left(-3\right)
Multiply -9 and 2 to get -18.
-18x=4\left(-3\right)
Multiply 2 and 2 to get 4.
-18x=-12
Multiply 4 and -3 to get -12.
x=\frac{-12}{-18}
Divide both sides by -18.
x=\frac{2}{3}
Reduce the fraction \frac{-12}{-18} to lowest terms by extracting and canceling out -6.