264-(3.x+155)=64
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\(=\dfrac{\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}}{2.\left(\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}\right)}.\dfrac{3.\left(\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}-\dfrac{1}{264}\right)}{\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}-\dfrac{1}{264}}\)
\(=\dfrac{1}{2}.3=\dfrac{3}{2}\)
5 + ( x + 27 ) = 64
( x + 27 ) = 64 - 5 ( x + 27 ) = 59 x = 59 - 27 x = 32a) \(\Rightarrow x+27=59\Rightarrow x=32\)
b) \(\Rightarrow x-2=39\Rightarrow x=41\)
c) \(\Rightarrow x+5=-322\Rightarrow x=-327\)
d) \(\Rightarrow5x=35\Rightarrow x=7\)
e) \(\Rightarrow4\left(x-5\right)=56\Rightarrow x-5=14\Rightarrow x=19\)
f) \(\Rightarrow15+x=37\Rightarrow x=22\)
g) \(\Rightarrow7\left(13-x\right)=35\Rightarrow13-x=5\Rightarrow x=8\)
h) \(\Rightarrow10\left(x+1\right)=100\Rightarrow x+1=10\Rightarrow x=9\)
a. \(69+\left(26-3x\right):5=64\)
\(\left(26-3x\right):5=64+60=124\)
\(\left(26-3x\right)=64:5=\dfrac{64}{5}\)
\(3x=26-\dfrac{64}{5}=\dfrac{66}{5}\)
\(x=\dfrac{66}{5}:3=\dfrac{22}{5}\)
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b. \(1236-\left(4x-124\right)=4^4.4^{15}:4^{16}+2^3\)
\(1236-\left(4x-124\right)=64+8=72\)
\(\left(4x-124\right)=1236-72=1164\)
\(4x=1164+124=1288\)
\(x=1288:4=322\)
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c. \(3^x:3^5=81.3^6\)
\(3^x:3^5=59049=3^{10}\)
\(\Rightarrow x:5=10\)
\(\Rightarrow x=10:5=2\)
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d, \(2.x-1234+264=786\)
\(2x=786+1234-264\)
\(2x=1756\Rightarrow x=878\)
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\(\dfrac{\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}}{\dfrac{2}{3}-\dfrac{2}{7}-\dfrac{2}{13}}\cdot\dfrac{\dfrac{3}{4}-\dfrac{3}{16}-\dfrac{3}{64}-\dfrac{3}{264}}{1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}}+\dfrac{5}{8}\)
\(=\dfrac{\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}}{2\left(\dfrac{1}{3}-\dfrac{1}{7}-\dfrac{1}{13}\right)}\cdot\dfrac{\dfrac{3}{4}\left(1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}\right)}{1-\dfrac{1}{4}-\dfrac{1}{16}-\dfrac{1}{64}}+\dfrac{5}{8}\)
\(=\dfrac{1}{2}\cdot\dfrac{3}{4}+\dfrac{5}{8}=\dfrac{3}{8}+\dfrac{5}{8}=1\)
\(264-\left(3\times x+155\right)=64\)
\(3\times x+155=264-64\)
\(3\times x+155=200\)
\(3\times x=200-155\)
\(3\times x=45\)
\(x=\frac{45}{3}=15\)
264 - ( 3x + 155 ) = 64
3x + 155 = 264 - 64
3x + 155 = 200
3x = 200 - 155
3x = 45
x = 45 : 3
x = 15