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\frac{\left(10x-10\right)\left(x+1\right)-1}{5x-1}
Use the distributive property to multiply 10 by x-1.
\frac{10x^{2}+10x-10x-10-1}{5x-1}
Apply the distributive property by multiplying each term of 10x-10 by each term of x+1.
\frac{10x^{2}-10-1}{5x-1}
Combine 10x and -10x to get 0.
\frac{10x^{2}-11}{5x-1}
Subtract 1 from -10 to get -11.
\frac{\left(10x-10\right)\left(x+1\right)-1}{5x-1}
Use the distributive property to multiply 10 by x-1.
\frac{10x^{2}+10x-10x-10-1}{5x-1}
Apply the distributive property by multiplying each term of 10x-10 by each term of x+1.
\frac{10x^{2}-10-1}{5x-1}
Combine 10x and -10x to get 0.
\frac{10x^{2}-11}{5x-1}
Subtract 1 from -10 to get -11.