\(\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}:\frac{3}{5}+\frac{10}{9}\)

\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{2}{7}.\frac{5}{3}+\frac{10}{9}\)

\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{10}{21}+\frac{10}{9}\)

\(\Rightarrow\frac{2}{3}:\frac{x}{5}+\frac{5}{7}=\frac{100}{63}\)

\(\Rightarrow\frac{2}{3}:\frac{x}{5}=\frac{100}{63}-\frac{5}{7}\)

\(\Rightarrow\frac{2}{3}:\frac{x}{5}=\frac{55}{63}\)

\(\Rightarrow\frac{x}{5}=\frac{2}{3}:\frac{55}{63}\)

\(\Rightarrow\frac{x}{5}=\frac{2}{3}.\frac{63}{55}\)

\(\Rightarrow\frac{x}{5}=\frac{42}{55}\)

\(\Rightarrow x=\frac{42.5}{55}=\frac{42}{11}\)

Nên ta chọn đáp án D là đáp án đúng! 

( trong bài có dấu . tức là dấu dấu nhân bn nhé )

2/3 : x/5 + 5/7 = 2/7 : 3/5 + 10/9

2/3 : x/5 + 5/7 = 10/21 + 10/9

2/3 : x/5 + 5/7 = 100/63

2/3 : x/5 = 100/63 - 5/7

2/3 : x/5 = 55/63

2/3 . 5/x= 55/63

=) 5/x = 55/63 : 2/3

=) 5/x = 55/42

ta có : a/b = c/d =) a.d=b.c

(=) 55.x = 5.42

      55.x = 210

=)        x = 210 : 55 = 42/11

vậy đáp án đúng là D

 chúc bn học tốt

giúp tôi nhá

a) 5(x+7) - 10 = 2^3 . 5

 5(x+7 ) -10 = 8 . 5 = 40

5(x+7) = 40 + 10 = 50

x + 7 = 50 : 5 = 10

x = 10 - 7 = 3

b) 2^6 + ( 5 + x ) = 3^4

  64 +  ( 5 + x ) = 81

5 + x = 81 - 64 = 17

x = 17 - 5 = 12

\(a,[(2\cdot x-11):3+1]\cdot5=20\\\Rightarrow (2x-11):3+1=20:5\\\Rightarrow (2x-11):3+1=4\\\Rightarrow (2x-11):3=4-1\\\Rightarrow (2x-11):3=3\\\Rightarrow2x-11=3\cdot3\\\Rightarrow2x-11=9\\\Rightarrow2x=9+11\\\Rightarrow2x=20\\\Rightarrow x=20:2=10\)

\(b,(25-2x)^3:5-3^2=4^2\\\Rightarrow(25-2x)^3:5-9=16\\\Rightarrow(25-2x)^3:5=16+9\\\Rightarrow(25-2x)^3:5=25\\\Rightarrow(25-2x)^3=25\cdot5\\\Rightarrow(25-2x)^3=125\\\Rightarrow(25-2x)^3=5^3\\\Rightarrow25-2x=5\\\Rightarrow2x=25-5\\\Rightarrow2x=20\\\Rightarrow x=20:2=10\\Toru\)

b: \(\Leftrightarrow25-x=30\)

hay x=-5

a, X = 273

b, X = 156

c, X = 4

d, X =  505

e, X = \(\frac{37}{245}\)

\(a.\dfrac{12+x}{42}=\dfrac{35}{42}\Leftrightarrow12+x=35\Leftrightarrow x=23\)

\(b.\dfrac{25-x}{40}=\dfrac{3}{8}\Leftrightarrow\dfrac{25-x}{40}=\dfrac{15}{40}\Leftrightarrow25-x=15\Leftrightarrow x=10\)

\(c.\dfrac{13+x}{20}=\dfrac{3}{4}\Leftrightarrow\dfrac{13+x}{20}=\dfrac{15}{20}\Leftrightarrow13+x=15\Leftrightarrow x=2\)

\(d.\dfrac{23-x}{25}=\dfrac{20}{25}\Leftrightarrow23-x=20\Leftrightarrow x=3\)

a) 12 : x = 3

     X = 12 : 3

     X = 4

b) 21 : x = 7

     X = 21 : 7

     X = 3

c) 30 : x = 3

     X = 30 : 3

     X = 10

d) X : 7 = 4

     X = 4 x 7

     X = 28

e) 20 : x = 5

     X = 20 : 5

     X = 4

f) X x 6 = 42

     X = 42 : 6

     X = 7

a) x + 7 = 19

x = 19 - 7

x = 12

b) 42 - 3x = 27

3x = 42 - 27

3x = 15

x = 15 : 3

x = 5

c) 45 : (3 - x) = 5

3 - x = 45 : 5

3 - x = 9

x = 3 - 9

x = (-6)