7.
$(5+x)^2-36=0$
$(5+x)^2=36=6^2=(-6)^2$
$\Rightarrow 5+x=6$ hoặc $5+x=-6$
$\Rightarrow x=1$ hoặc $x=-11$
8.
$(7x-11)^3=2^5.5^2+200=1000=10^3$
$\Rightarrow 7x-11=10$
$\Rightarrow 7x=21$
$\Rightarrow x=3$
9.
$3^x+4^2=(8-3)^2=5^2$
$3^x=5^2-4^2=9=3^2$
$\Rightarrow x=2$
10.
$(2x-3)^3=27=3^3$
$\Rightarrow 2x-3=3$
$\Rightarrow 2x=6\Rightarrow x=3$
11.
$575-(6x+70)=445$
$6x+70=575-445=130$
$6x=130-70=60$
$x=60:6=10$
12.
$720:[41-(2x-5)]=2^3.5=40$
$41-(2x-5)=720:40=18$
$2x-5=41-18=23$
$2x=23+5=28$
$x=28:2=14$
13.
$2022^{x-2021}+3=(7-5)^2=4$
$2022^{x-2021}=4-3=1$
$\Rightarrow x-2021=0$
$\Rightarrow x=2021$
14.
$(x+1)+(x+2)+...+(x+30)=795$
$(x+x+...+x)+(1+2+...+30)=795$
$30x+465=795$
$30x=795-465=330$
$x=330:30=11$
15.
$[(x.x+55)-31].14=560$
$(x.x+55)-31=560:14=40$
$x.x+55=40+31=71$
$x.x=71-55=16=4.4=(-4)(-4)$
$\Rightarrow x=4$ hoặc $x=-4$