Đáp án:

Giải thích các bước giải:

1) |4+2x|=-4x đk:x≤0

⇔\(\left[ \begin{array}{l}4+2x=-4x\\4+2x=4x\end{array} \right.\)

⇔\(\left[ \begin{array}{l}x=-\frac{2}{3}\\x=2\end{array} \right.\)  

⇔x=-$\frac{2}{3}$

vậy:s={-$\frac{2}{3}$}

2) |9+x|= 2x đk:x≥0

⇔\(\left[ \begin{array}{l}9+x=2x\\9+x=-2x\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}x=9\\x=-3\end{array} \right.\) 

⇔x=9

vậy:s={9}

3) |x-1|= |3-2x| 

⇔\(\left[ \begin{array}{l}x-1=3-2x\\x-1=2x-3\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}x=\frac{4}{3}\\x=2\end{array} \right.\)

vậy:s={2;$\frac{4}{3}$}

4) |0,5x|=3-2x đk:x≤1,5

⇔\(\left[ \begin{array}{l}0,5x=3-2x\\0,5x=2x-3\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}x=1,2\\x=2\end{array} \right.\) 

⇔x=1,2

vậy:s={1,2}

5) |-2x|=4x+18 đk:x≥-4,5

⇔\(\left[ \begin{array}{l}2x=4x+18\\2x=-4x-18\end{array} \right.\) 

⇔\(\left[ \begin{array}{l}x=-9\\x=-3\end{array} \right.\)

⇔x=-3

vậy:s={-3}