Simplify
5/(x-2) + 1/ 4x - 8
5x−2+14x−8 \frac{5}{x-2}+\frac{1}{4x-8}\:x−25+4x−81
5(4x−8)+(x−2)(x−2)(4x−8)\frac{5\left(4x-8\right)+\left(x-2\right)}{\left(x-2\right)\left(4x-8\right)}(x−2)(4x−8)5(4x−8)+(x−2)
(20x−40)+(x−2)(x−2)(4x−8)\frac{\left(20x-40\right)+\left(x-2\right)}{\left(x-2\right)\left(4x-8\right)}(x−2)(4x−8)(20x−40)+(x−2)
20x−40+x−2(x−2)(4x−8) \frac{20x-40+x-2}{\left(x-2\right)\left(4x-8\right)}\:(x−2)(4x−8)20x−40+x−2
20x+x−40−2x(4x−8)−2(4x−8)\frac{20x+x-40-2}{x\left(4x-8\right)-2\left(4x-8\right)}x(4x−8)−2(4x−8)20x+x−40−2
21x−424x2−8x−8x+16\frac{21x-42}{4x^2-8x-8x+16}4x2−8x−8x+1621x−42
21x−424x2−16x+16\frac{21x-42}{4x^2-16x+16}4x2−16x+1621x−42
21x−424(x−2)(x−2)\frac{21x-42}{4\left(x-2\right)\left(x-2\right)}4(x−2)(x−2)21x−42
21(x−2)4(x−2)(x−2)\frac{21\left(x-2\right)}{4\left(x-2\right)\left(x-2\right)}4(x−2)(x−2)21(x−2)
214(x−2)\frac{21}{4\left(x-2\right)}4(x−2)21
214x−8\frac{21}{4x-8}4x−821
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