3-|4-2|+5=2(x-1)
= 3-4+2+5=2x-2
2x = -2-3+4-2-5
2x=-8
x=\(\dfrac{-8}{2}\)
x=-4
vậy x = -4
| 2x+1|+|4x-2|=3x
= 2x+1+4x-2=3x
2x+4x-3x=2-1
3x=1
x=\(\dfrac{1}{3}\)
vậy x=\(\dfrac{1}{3}\)
\(3-\left|4x-2\right|+5x=2\left(x-1\right)\)
\(\Rightarrow3-\left|4x-2\right|+5x=2x-2\)
\(\Rightarrow3-\left|4x-2\right|=2x-5x-2\)
\(\Rightarrow3-\left|4x-2\right|=-3x-2\)
\(\Rightarrow\left|4x-2\right|=3-\left(-3x-2\right)\)
\(\Rightarrow\left|4x-2\right|=3+3x-2\)
\(\Rightarrow\left|4x-2\right|=1-3x\)
Xét dấu
\(\left|2x+1\right|+\left|4x-2\right|=3x\)
\(\left\{{}\begin{matrix}\left|2x+1\right|\ge0\forall x\\\left|4x-2\right|\ge0\forall x\end{matrix}\right.\)
\(\Rightarrow\left|2x+1\right|+\left|4x-2\right|\ge0\)
\(\Rightarrow3x\ge0\)
\(\Rightarrow2x+1+4x-2=3x\)
\(\Rightarrow6x-1=3x\)
\(\Rightarrow3x=1\Rightarrow x=\dfrac{1}{3}\)
