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\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
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Bài 2:
a) \(\left(3x+2\right)^3=-64\)
\(\Leftrightarrow\left(3x+2\right)^3=\left(-4\right)^3\)
\(\Leftrightarrow3x+2=\left(-4\right)\)
\(\Leftrightarrow3x=-4-2\)
\(\Leftrightarrow3x=-6\)
\(\Leftrightarrow x=-2\)
b) \(2x-3=-33\)
\(\Leftrightarrow2x=-33+3\)
\(\Leftrightarrow2x=-30\)
\(\Leftrightarrow x=-15\)
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a) (x – 45).27 = 0
=> x - 45 = 0
=> x = 45
b) 23.(42- x) = 23
=> 42- x = 1
=> x = 41
c. 3x – 5=7
=> 3x = 12
=> x = 4
e. 15 – 5x=10
=> 5x = 5
=> x = 1
![](https://rs.olm.vn/images/avt/0.png?1311)
(x-15) - (x-3) = -(x+17) - 1 <=> x-15-x+3 = -x-17-1 <=> x = -6
-(x-12) - (x-5) = -(4-x) + 13 <=> -x+12-x+5 = -4+x+13 <=> -3x = -8 => x = 8/3
34 - (x-7) = x+15 - (x+23) <=> 34-x+7 = x+15-x-23 <=> -x = -49 <=> x = 49
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890 : x = 35 dư 15
x = (890 - 15) : 35
x = 25
1482 : x + 23 = 80
1482 : x = 80 - 23
1482 : x = 57
x = 1482 : 57
x = 26
15 - 5 x (x - 1 ) = 10
5 x ( x - 1 ) = 15 - 10
5 x (x - 1) = 5
x - 1 = 5 : 5
x - 1 = 1
x = 1 + 1
x = 2
6x - 5 = 613
6x = 613 + 5
6x = 618
x = 103
890 : x = 35 ( dư 15 )
x = ( 890 - 15 ) : 35
x = 25
1482 : x + 23 = 80
1483 : x = 80 - 23
1483 : x = 57
x = 1483 : 57
x = 26
15 - 5 x ( x - 1 ) = 10
5 x ( x - 1 ) = 15 - 10
5 x ( x - 1 ) = 5
x - 1 = 5 : 5
x - 1 = 1
x = 1 + 1
x = 2
6x - 5 = 613
6x = 613 + 5
6x = 118
x = 118
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\(a,\Rightarrow x+35=103\\ \Rightarrow x=68\\ b,\Rightarrow x+7=42\\ \Rightarrow x=35\\ c,\Rightarrow x-15=9\\ \Rightarrow x=24\\ d,\Rightarrow x+23=31\\ \Rightarrow x=8\\ e,\Rightarrow18-x=6\\ \Rightarrow x=12\\ f,\Rightarrow x+14=34\\ \Rightarrow x=20\\ g,\Rightarrow2x+1=21\\ \Rightarrow x=11\\ h,\Rightarrow3\left(x+1\right)=99\\ \Rightarrow x+1=33\Rightarrow x=32\\ i,5\left(x-3\right)=25\\ \Rightarrow x-3=5\\ \Rightarrow x=8\\ j,\Rightarrow8\left(2x+7\right)=88\\ \Rightarrow2x+7=11\Rightarrow x=2\\ k,\Rightarrow5\left(x+4\right)=85\\ \Rightarrow x+4=17\\ \Rightarrow x=13\)