a) \(x+13=-19\)
\(\Rightarrow x=-19-13\)
\(\Rightarrow x=-32\)
b) \(13-2\left(x+3\right)=27\)
\(\Rightarrow2\left(x+3\right)=13-27\)
\(\Rightarrow2\left(x+3\right)=-14\)
\(\Rightarrow x+3=\dfrac{-14}{2}\)
\(\Rightarrow x+3=-7\)
\(\Rightarrow x=-7-3\)
\(\Rightarrow x=-10\)
c) \(\left(x+5\right)^2-3=13\)
\(\Rightarrow\left(x+5\right)^2=16\)
\(\Rightarrow\left(x+5\right)^2=4^2\)
TH1: \(x+5=4\)
\(\Rightarrow x=4-5\)
\(\Rightarrow x=-1\)
TH2: \(x+5=-4\)
\(\Rightarrow x=-4-5\)
\(\Rightarrow x=-9\)
d) \(\left(x-7\right)\left(18:x+3\right)=0\)
TH1: \(x-7=0\)
\(\Rightarrow x=7\)
TH2: \(18:x+3=0\)
\(\Rightarrow18:x=-3\)
\(\Rightarrow x=18:-3\)
\(\Rightarrow x=-6\)
