Đáp án:
Giải thích các bước giải:
1, 6.|x-2|=18
|x-2|=18:6
|x-2|=3
<=>\(\left[ \begin{array}{l}x-2=3\\x-2=-3\end{array} \right.\)
<=>\(\left[ \begin{array}{l}x=2+3\\x=2+-3\end{array} \right.\)
<=>\(\left[ \begin{array}{l}x=5\\x=-1\end{array} \right.\)
2, |x-3|-16=-4
|x-3|=-4+16
|x-3|=12
<=>\(\left[ \begin{array}{l}x-3=12\\x-3=-12\end{array} \right.\)
<=>\(\left[ \begin{array}{l}x=12+3\\x=-12+3\end{array} \right.\)
<=>\(\left[ \begin{array}{l}x=15\\x=-9\end{array} \right.\)
3, x-75=15-2x
x+2x=15+75
3x=90
x=90:3
x=30
4, 5x+67=23-3x-18
5x+67=-3x+5
5x+3x=5-67
8x=-62
x=-62:8
x=$\frac{-31}{4}$
5, (x ²-25).(|x|-7)=0
<=>\(\left[ \begin{array}{l}x^{2}-25=0\\|x|-7=0\end{array} \right.\)
<=>\(\left[ \begin{array}{l}x^{2}=25\\|x|=7\end{array} \right.\)
<=>\(\left[ \begin{array}{l}x=±5\\x=±7\end{array} \right.\)
