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a) \(13-18-\left(-42\right)-15\)
\(=13-18+42-15\)
\(=\left(13-18-15\right)+42\)
\(=-20+42\)
\(=22\)
b) \(369-4.\left[-5+4.\left(-8\right)\right]\)
\(=369-4.\left[-5+\left(-32\right)\right]\)
\(=369-4.\left(-37\right)\)
\(=369+148\)
\(=517\)
c) \(\left(-8\right)^3\div\left(-8\right)^2+8\)
\(=-8+8\)
\(=0\)
d) \(\left(-12\right).\left(-13\right)+13.\left(-29\right)\)
\(=12.13+13.\left(-29\right)\)
\(=13.\left(-29+12\right)\)
\(=13.\left(-17\right)\)
\(=-221\)
\(|x-5|=8\)
\(=>\orbr{\begin{cases}x-5=8\\x-5=-8\end{cases}}\)
\(=>\orbr{\begin{cases}x=8+5\\x=-8+5\end{cases}}\)
\(=>\orbr{\begin{cases}x=13\\x=-3\end{cases}}\)
\(2\left(x-3\right)+2^3=3^2.2\\ 2\left(x-3\right)=18-8\\ 2\left(x-3\right)=10\\ x-3=\dfrac{10}{2}\\ x-3=5\\ x=5+3\\ x=8\\ ----\\ 2^2.3-3\left(x-4\right)=2^3-2\\ 12-3\left(x-4\right)=6\\ 3\left(x-4\right)=12-6\\ 3\left(x-4\right)=6\\ x-4=6:3\\ x-4=2\\ x=2+4\\ x=6\\ ----\\ 7.2^2-4\left(2x+1\right)=2^3\\ 28-4\left(2x+1\right)=8\\ 4\left(2x+1\right)=28-8\\ 4\left(2x+1\right)=20\\ 2x+1=20:4\\ 2x+1=5\\ 2x=5-1\\ 2x=4\\ x=\dfrac{4}{2}=2\\ ---\\ 600-2\left(x-3\right)^8=11.2^3\\ 600-2\left(x-3\right)^8=88\\ 2\left(x-3\right)^8=600-88\\ 2\left(x-3\right)^8=512\\ \left(x-3\right)^8=\dfrac{512}{2}\\ \left(x-3\right)^8=256=2^8=\left(-2\right)^8\\ x-3=2.hoặc.x-3=-2\\ x=5.hoặc.x=1\)
\(\frac{1}{3}x+\frac{2}{5}x-\frac{2}{5}=0\)
\(\left(\frac{1}{3}+\frac{2}{5}\right).x=\frac{2}{5}\)
\(\frac{11}{15}x=\frac{2}{5}\)
x=6/11
-2(-x - 5)+ 18 = 20 - 3(x + 4)
=> 2x + 10 + 18 = 20 - 3x - 12
=> 2x + 3x = -12 - 18 - 10
=> 5x = -40
=> x = -40/5
=> x = -8