Ta có :
\(2\left|x-4\right|=3x+5\)
\(\left|x-4\right|=\left(3x+5\right):2\)
\(\Rightarrow\left[{}\begin{matrix}x-4=\left(3x+5\right):2\\x-4=-\left(3x+5\right):2\end{matrix}\right.\)
\(TH1:\)
\(x-4=\left(3x+5\right):2\)
\(x-4-\left(3x-5\right)=2\)
\(x-4-3x-5=2\)
\(x\left(1-3\right)+\left(-4-5\right)=2\)
\(-2x-9=2\)
\(-2x=2+9\)
\(-2x=11\)
\(x=11:\left(-2\right)\)
\(x=-5,5\)
\(TH2:\)
\(x-4=-\left(3x+5\right):2\)
\(x-4+\left(3x+5\right)=2\)
\(x-4+3x+5=2\)
\(x\left(1+3\right)+\left(-4+5\right)=2\)
\(4x+1=2\)
\(4x=2-1\)
\(4x=1\)
\(x=1:4\)
\(x=0,25\)
Vậy \(x\in\left\{5,5;0,25\right\}\) là giá trị cần tìm
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