\(\dfrac{3x+2+x-6}{2x-2}=\dfrac{4x-4}{2\left(x-1\right)}=\dfrac{4\left(x-1\right)}{2\left(x-1\right)}=2\)
\(\dfrac{10}{\left(x-5\right)\left(x+5\right)}-\dfrac{5}{x\left(x+5\right)}=\dfrac{10x}{x\left(x-5\right)\left(x+5\right)}-\dfrac{5\left(x-5\right)}{x\left(x-5\right)\left(x+5\right)}=\dfrac{10x-5x+25}{x\left(x-5\right)\left(x+5\right)}=\dfrac{5\left(x+5\right)}{x\left(x-5\right)\left(x+5\right)}=\dfrac{5}{x\left(x-5\right)}\)
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