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\frac{1}{3}x=0.6x-2
Use the distributive property to multiply 2 by 0.3x-1.
\frac{1}{3}x-0.6x=-2
Subtract 0.6x from both sides.
-\frac{4}{15}x=-2
Combine \frac{1}{3}x and -0.6x to get -\frac{4}{15}x.
x=-2\left(-\frac{15}{4}\right)
Multiply both sides by -\frac{15}{4}, the reciprocal of -\frac{4}{15}.
x=\frac{-2\left(-15\right)}{4}
Express -2\left(-\frac{15}{4}\right) as a single fraction.
x=\frac{30}{4}
Multiply -2 and -15 to get 30.
x=\frac{15}{2}
Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.