a)2x-34=981-3x
⇔2x+3x=981+34
⇔5x=1015
⇔x=203
vậy x=203
b)|x-2|=6
⇔\(\left[ \begin{array}{l}x-2=6\\x+2=6\end{array} \right.\) ⇔\(\left[ \begin{array}{l}x=8\\x=4\end{array} \right.\)
vậy x=8 hoặc x=4
c)-1-(x-3)=7+x
⇔-1-x+3=7+x
⇔-x+2=7+x
⇔-x-x=7-2
⇔-2x=5
⇔x=-5/2
vậy x=-5/2
d)|x+8|-7=0
⇔|x+8|=7
⇔\(\left[ \begin{array}{l}x+8=7\\x+8=-7\end{array} \right.\)
⇔\(\left[ \begin{array}{l}x=-1\\x=-15\end{array} \right.\)
vậy x=-1 hoặc x=-15
e)|x-2017|-(-3)=2021
⇔|x-2017|=2018
⇔\(\left[ \begin{array}{l}x-2017=2018\\x-2017=-2018\end{array} \right.\)
⇔\(\left[ \begin{array}{l}x=4035\\x=-1\end{array} \right.\)
vậy x=4035 hoặc x=-1
f)|x+6|-8=200
⇔|x+6|=208
⇔\(\left[ \begin{array}{l}x+6=208\\x+6=-208\end{array} \right.\)
⇔\(\left[ \begin{array}{l}x=202\\x=-214\end{array} \right.\)
vậy x=202 hoặc x=-214