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2=-\frac{8}{3}-\frac{24}{3}+x
Convert 8 to fraction \frac{24}{3}.
2=\frac{-8-24}{3}+x
Since -\frac{8}{3} and \frac{24}{3} have the same denominator, subtract them by subtracting their numerators.
2=-\frac{32}{3}+x
Subtract 24 from -8 to get -32.
-\frac{32}{3}+x=2
Swap sides so that all variable terms are on the left hand side.
x=2+\frac{32}{3}
Add \frac{32}{3} to both sides.
x=\frac{6}{3}+\frac{32}{3}
Convert 2 to fraction \frac{6}{3}.
x=\frac{6+32}{3}
Since \frac{6}{3} and \frac{32}{3} have the same denominator, add them by adding their numerators.
x=\frac{38}{3}
Add 6 and 32 to get 38.