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a)\(-x+\left(-53\right)=\left(-42\right)-41\Rightarrow-x+\left(-53\right)=\left(-83\right)\Rightarrow x=\left(-83\right)-\left(-53\right)=-30\)b) \(-12-x=-32+19\Rightarrow-12-x=-13\Rightarrow x=12--13=25\)c)\(453+x=-443+-199\Rightarrow453+x=-562\Rightarrow x=-562-453=-1015\)d)(đề trùng b mk ko làm nha)
e) \(32.\left(-2\right)+x=-120-5.\left(-85\right)\Rightarrow-64+x=545\Rightarrow x=545--64=609\)g)
\(-2x+15.\left(-4\right)=21.\left(-8\right)-12\Rightarrow-2x+-60=-180\Rightarrow2x=-120\Rightarrow x=-60\)
\(\dfrac{4}{3.5}+\dfrac{8}{5.9}+\dfrac{12}{9.15}+...+\dfrac{32}{x\left(x+16\right)}=\dfrac{16}{15}\)
\(2.\left(\dfrac{2}{3.5}+\dfrac{4}{5.9}+\dfrac{6}{9.15}+..+\dfrac{16}{X.\left(X+16\right)}\right)=\dfrac{16}{15}\)
\(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{15}+...+\dfrac{1}{X}-\dfrac{1}{X+16}=\dfrac{8}{15}\)
\(\dfrac{1}{X+16}=\dfrac{1}{3}-\dfrac{8}{15}\)
\(\dfrac{1}{X+16}=\dfrac{-1}{5}\)
\(X+16=-5\)
\(X=-21\)
A = 8 . 12 . 32 + 4 . 27 . 24 + 41 .4 . 16
A = 96 . 32 + 96 . 27 + 41 . 4 . 16
A = 96 ( 32 + 27 ) +41 . 4 . 16
A = 96 . 59 + 41 . 64
A = 32 . 3 . 59 + 41 . 32 . 2
A = 32 ( 3 + 59 + 41 + 2 )
A = 32 . 105
A = 3360
`#3107.101107`
A,
\(2\times32\times12+4\times6\times41+8\times27\times3\\ =24\times32+24\times41+24\times27\\ =24\times\left(32+41+27\right)\\ =24\times100\\ =2400\)
B,
\(\left(2006\times2005^{2016}-2005^{2016}\right)\div2005^{2017}\\ =\left[2005^{2016}\times\left(2006-1\right)\right]\div2005^{2017}\\ =\left(2005^{2016}\times2005\right)\div2005^{2017}\\ =2005^{2017}\div2005^{2017}\\ =1\)
`Answer:`
1. \(25.\left\{32:[12-4+4.\left(16:8\right)]\right\}\)
\(=25.\left\{32:[12-4+4.2]\right\}\)
\(=25.\left\{32:[12-4+8]\right\}\)
\(=25.\left\{32:[8+8]\right\}\)
\(=25.\left\{32:16\right\}\)
\(=25.2\)
\(=50\)
2. \(2195.1952-952.427-1952.1768\)
\(=2195.1952-1952.1768-952.427\)
\(=\left(2195-1768\right).1925-952.427\)
\(=427.1952-952.427\)
\(=\left(1952-952\right).427\)
\(=1000.427\)
\(=427000\)
\(1\)) \(5-\left(10-x\right)=7\)
\(10-x=5-7\)
\(10-x=-2\)
\(x=10-\left(-2\right)\)
\(x=12\)
\(2\)) \(-32-\left(x-5\right)=0\)
\(x-5=-32-0\)
\(x-5=-32\)
\(x=-32+5\)
\(x=-27\)
\(8.x+x=3^2.12\)
\(\Rightarrow9x=9.12\Rightarrow x=12\)
\(8x+x=3^2\cdot12\)
\(\Rightarrow8x+x=108\)
\(\Rightarrow x=\frac{108}{9}=12\)