Đáp án+Giải thích các bước giải:

$\\a)-x+8=-17-30$ $\\-x+8=-47$ $\\-x=-47-8$ $\\-x=-55$ $\\x=55$ $\\b)35-x=37$ $\\x=35-37$ $\\x=-2$ $\\c)(-19-x)+23=-20$ $\\-19-x+23=-20$ $\\-x+4=-20$ $\\-x=-20-4$ $\\-x=-24$ $\\=>x=24$ $\\(x-45):2=-17$ $\\x-45=-17.2$ $\\x-45=-34$ $\\x=-34+45$ $\\x=11$ $\\e)|x|=10$ $\\<=>\left[ \begin{array}{l}x=10\\x=-10\end{array} \right.$ $\\f)|x+3|=15$ $\\<=>\left[ \begin{array}{l}x+3=15\\x+3=-15\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=15-3\\x=-15-3\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=12\\x=-18\end{array} \right.$ $\\g)|x-3|-16=-4$ $\\|x-3|=-4+16$ $\\|x-3|=12$ $\\<=>\left[ \begin{array}{l}x-3=12\\x-3=-12\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=12+3\\x=-12+3\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=15\\x=-9\end{array} \right.$ $\\h)|x-7|+13=25$ $\\|x-7|=25-13$ $\\|x-7|=12$ $\\<=>\left[ \begin{array}{l}x-7=12\\x-7=-12\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=12+7\\x=-12+7\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=19\\x=-5\end{array} \right.$ $\\i)26-|x+9|=-13$ $\\i)|x+9|=26+13$ $\\i)|x+9|=39$ $\\<=>\left[ \begin{array}{l}x+9=39\\x+9=-39\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=39-9\\x=-39-9\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=30\\x=-48\end{array} \right.$ $\\k)(x+10)^2-14=50$ $\\(x+10)^2=50+14$ $\\(x+10)^2=64=8^2$ $\\<=>\left[ \begin{array}{l}x+10=8\\x+10=-8\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=8-10\\x=-8-10\end{array} \right.$ $\\<=>\left[ \begin{array}{l}x=-2\\x=-18\end{array} \right.$

Đáp án:

`↓↓↓`

Giải thích các bước giải:

`a) -x + 8 = -17 - 30`

`-> -x + 8 = -47`

`-> -x = -55`

`-> x = 55`

`b) 35 - x = 37`

`-> x = 35 - 37 -> x = -2`

`c) (-19 - x) + 23 = -20`

`-> -19 - x = -43`

`-> x = 24`

`d) (x - 45) : 2 = -17`

`-> x - 45 = -34`

`-> x = 11`

`e) |x| = 10`

`-> x = ±10`

`f) |x + 3| = 15`

`->` \(\left[ \begin{array}{l}x+3=15\\x+3=-15\end{array} \right.\) 

`->` \(\left[ \begin{array}{l}x=12\\x=-18\end{array} \right.\) 

`g) |x - 3| - 16 = -4`

`-> |x - 3| = 12`

`->` \(\left[ \begin{array}{l}x-3=12\\x-3=-12\end{array} \right.\) 

`->` \(\left[ \begin{array}{l}x=15\\x=-9\end{array} \right.\) 

`h) |x - 7| + 13 = 25`

`-> |x - 7| = 12`

`->` \(\left[ \begin{array}{l}x-7=12\\x-7=-12\end{array} \right.\) 

`->` \(\left[ \begin{array}{l}x=19\\x=-5\end{array} \right.\) 

`i) 26 - |x + 9| = -13`

`-> |x + 9| = 39`

`->` \(\left[ \begin{array}{l}x+9=39\\x+9=-39\end{array} \right.\) 

`->` \(\left[ \begin{array}{l}x=30\\x=-48\end{array} \right.\) 

`k) (x + 10)^2 - 14 = 50`

`-> (x + 10)^2 = 64 -> (x + 10)^2 = (±8)^2`

`-> x + 10  = ±8`

`->` \(\left[ \begin{array}{l}x+10=8\\x+10=-8\end{array} \right.\) 

`->` \(\left[ \begin{array}{l}x=-2\\x=-18\end{array} \right.\)