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\frac{4}{3}x-x>-2
Subtract x from both sides.
\frac{1}{3}x>-2
Combine \frac{4}{3}x and -x to get \frac{1}{3}x.
x>-2\times 3
Multiply both sides by 3, the reciprocal of \frac{1}{3}. Since \frac{1}{3} is positive, the inequality direction remains the same.
x>-6
Multiply -2 and 3 to get -6.