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\frac{4}{3}x-2=-2
Swap sides so that all variable terms are on the left hand side.
\frac{4}{3}x=-2+2
Add 2 to both sides.
\frac{4}{3}x=0
Add -2 and 2 to get 0.
x=0
Product of two numbers is equal to 0 if at least one of them is 0. Since \frac{4}{3} is not equal to 0, x must be equal to 0.