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x^{2}-\frac{2}{3}\left(x-5\right)+\frac{4+1}{2}
Multiply 2 and 2 to get 4.
x^{2}-\frac{2}{3}\left(x-5\right)+\frac{5}{2}
Add 4 and 1 to get 5.
x^{2}-\frac{2}{3}x+\frac{10}{3}+\frac{5}{2}
Use the distributive property to multiply -\frac{2}{3} by x-5.
x^{2}-\frac{2}{3}x+\frac{35}{6}
Add \frac{10}{3} and \frac{5}{2} to get \frac{35}{6}.
x^{2}-\frac{2}{3}\left(x-5\right)+\frac{4+1}{2}
Multiply 2 and 2 to get 4.
x^{2}-\frac{2}{3}\left(x-5\right)+\frac{5}{2}
Add 4 and 1 to get 5.
x^{2}-\frac{2}{3}x+\frac{10}{3}+\frac{5}{2}
Use the distributive property to multiply -\frac{2}{3} by x-5.
x^{2}-\frac{2}{3}x+\frac{35}{6}
Add \frac{10}{3} and \frac{5}{2} to get \frac{35}{6}.