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\(\Leftrightarrow4\left(x-2\right)\left(x+10\right)-\left(x+4\right)\left(x+10\right)-3\left(x-2\right)\left(x+4\right)=0\)
\(\Leftrightarrow4\left(x^2+8x-20\right)-\left(x^2+14x+40\right)-3\left(x^2+2x-8\right)=0\)
\(\Leftrightarrow12x-96=0\Rightarrow x=8\)
\(\Leftrightarrow\left\{\left[\left(x:3+17\right):10+48\right]:10\right\}=5\)
=>(x:3+17):10+48=50
=>(x:3+17):10=2
=>x:3+17=20
=>x:3=3
hay x=9
\(\Leftrightarrow\left|x-\dfrac{17}{10}\right|=\dfrac{23}{10}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{17}{10}=\dfrac{23}{10}\\x-\dfrac{17}{10}=-\dfrac{23}{10}\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\dfrac{x+1}{10}+\dfrac{x+1}{11}+\dfrac{x+1}{12}=\dfrac{x+1}{14}+\dfrac{x+1}{15}\)
\(\Leftrightarrow\left(x+1\right)\left(\dfrac{1}{10}+\dfrac{1}{11}+\dfrac{1}{12}-\dfrac{1}{14}-\dfrac{1}{15}\right)=0\)
=>x+1=0
hay x=-1