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\frac{5x-15+\left(x+5\right)\left(x-2\right)}{2\left(x+5\right)}
Use the distributive property to multiply 5 by x-3.
\frac{5x-15+x^{2}-2x+5x-10}{2\left(x+5\right)}
Apply the distributive property by multiplying each term of x+5 by each term of x-2.
\frac{5x-15+x^{2}+3x-10}{2\left(x+5\right)}
Combine -2x and 5x to get 3x.
\frac{8x-15+x^{2}-10}{2\left(x+5\right)}
Combine 5x and 3x to get 8x.
\frac{8x-25+x^{2}}{2\left(x+5\right)}
Subtract 10 from -15 to get -25.
\frac{8x-25+x^{2}}{2x+10}
Use the distributive property to multiply 2 by x+5.
\frac{5x-15+\left(x+5\right)\left(x-2\right)}{2\left(x+5\right)}
Use the distributive property to multiply 5 by x-3.
\frac{5x-15+x^{2}-2x+5x-10}{2\left(x+5\right)}
Apply the distributive property by multiplying each term of x+5 by each term of x-2.
\frac{5x-15+x^{2}+3x-10}{2\left(x+5\right)}
Combine -2x and 5x to get 3x.
\frac{8x-15+x^{2}-10}{2\left(x+5\right)}
Combine 5x and 3x to get 8x.
\frac{8x-25+x^{2}}{2\left(x+5\right)}
Subtract 10 from -15 to get -25.
\frac{8x-25+x^{2}}{2x+10}
Use the distributive property to multiply 2 by x+5.