a)<=>10+15(3x-3,7)=-5,3

<=>10+45x-55,5=-5,3

<=>45x-45,5=-5,3

<=>45x=40,2

<=>x=\(\frac{40,2}{45}\)

b)

a,x.3\(\dfrac{1}{4}\)+(\(\dfrac{-7}{6}\)).x-1\(\dfrac{2}{3}\)=\(\dfrac{5}{12}\)

\(\Leftrightarrow\)\(\dfrac{13}{4}\)x+(\(\dfrac{-7}{6}\))x-\(\dfrac{5}{3}\)=\(\dfrac{5}{12}\)

\(\Leftrightarrow\)\(\dfrac{13}{4}\)x+(\(\dfrac{-7}{6}\))x=\(\dfrac{25}{12}\)

\(\Leftrightarrow\)\(\dfrac{25}{12}\)x=\(\dfrac{25}{12}\)

\(\Leftrightarrow\)x=1

Vậy x=1

b,\(\dfrac{2}{5}\)+\(\dfrac{3}{5}\).(3x-3,7)=\(\dfrac{-53}{10}\)

\(\Leftrightarrow\)\(\dfrac{3}{5}\).(3x-3,7)=\(\dfrac{-53}{10}\)-\(\dfrac{2}{5}\)

\(\Leftrightarrow\)\(\dfrac{9}{5}\)x-\(\dfrac{111}{50}\)=\(\dfrac{-57}{10}\)

\(\Leftrightarrow\)\(\dfrac{9}{5}\)x=\(\dfrac{-87}{25}\)

\(\Leftrightarrow\)x=\(\dfrac{-29}{15}\)

Vậy x=\(\dfrac{-29}{15}\)

c,\(\dfrac{7}{9}\):(2+\(\dfrac{3}{4}\)x)+\(\dfrac{5}{9}\)=\(\dfrac{23}{27}\)

\(\Leftrightarrow\)\(\dfrac{7}{9}\):(2+\(\dfrac{3}{4}\)x)=\(\dfrac{8}{27}\)

\(\Leftrightarrow\)\(\dfrac{7}{18}\)+\(\dfrac{28}{27}\)x=\(\dfrac{8}{27}\)

\(\Leftrightarrow\)\(\dfrac{28}{27}\)x=\(\dfrac{-5}{54}\)

\(\Leftrightarrow\)x=\(\dfrac{-5}{56}\)

Vậy x=\(\dfrac{-5}{56}\)

f: Ta có: \(16x^2-9\left(x+1\right)^2=0\)

\(\Leftrightarrow\left(4x-3x-3\right)\left(4x+3x+3\right)=0\)

\(\Leftrightarrow\left(x-3\right)\left(7x+3\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=3\\x=-\dfrac{3}{7}\end{matrix}\right.\)

4.x=29/12;-29/12

Câu cuối ban viết rõ lên nhé

a: =>|x+3/4|=2+1/5=11/5

=>x+3/4=11/5 hoặc x+3/4=-11/5

=>x=29/20 hoặc x=-59/20

b: (x+1/2)(2/3-2x)=0

=>x+1/2=0 hoặc 2/3-2x=0

=>x=-1/2 hoặc x=1/3

c: =>|2x-1/3|=1/6

=>2x-1/3=1/6 hoặc 2x-1/3=-1/6

=>2x=1/2 hoặc 2x=1/6

=>x=1/4 hoặc x=1/12

e: =>x+2/3=0 hoặc -2x-3/5=0

=>x=-2/3 hoặc x=-3/10

a) 2/3 x + 1/2 = 1/10

2/3 x = 1/10 - 1/2

2/3 x = -2/5

x = -2/5 : 2/3

x = -3/5

b) 2/3 x + 1/5 = 7/10

2/3 x = 7/10 - 1/5

2/3 x = 1/2

x = 1/2 : 2/3

x = 3/4

c) (3 4/5 - 2x) . 1 1/3 = 5

19/5 - 2x = 5 : 4/3

19/5 - 2x = 15/4

2x = 19/5 - 15/4

2x = 1/20

x = 1/20 : 2

x = 1/40

d) x/7 = 6/(-21)

x = 6.7/(-21)

x = -2

a, \(\frac{2}{3}x+\frac{5}{6}x+\frac{1}{2}=\frac{-3}{4}\)

\(\Leftrightarrow\frac{3}{2}x=\frac{-5}{4}\)

\(\Leftrightarrow x=\frac{-5}{6}\)

b, \(\frac{2}{5}+\frac{3}{5}.\left(3x-3,7\right)=\frac{-53}{10}\)

\(\Leftrightarrow\frac{3}{5}.\left(3x-\frac{37}{10}\right)=\frac{-57}{10}\)

\(\Leftrightarrow3x-\frac{37}{10}=\frac{-19}{2}\)

\(\Leftrightarrow3x=\frac{-29}{5}\)

\(\Leftrightarrow x=\frac{-29}{15}\)

a) \(\frac{2}{3}x+\frac{5}{6}x+\frac{1}{2}=-\frac{3}{4}\)

\(x\left(\frac{2}{3}+\frac{5}{6}\right)+\frac{1}{2}=-\frac{3}{4}\)

\(x\cdot\frac{3}{2}=\frac{-5}{4}\)

\(x=-\frac{5}{6}\)

\(\frac{2}{5}+\frac{3}{5}\left(3x-3,7\right)=-\frac{53}{10}\)

\(\frac{3}{5}\left(3x-\frac{37}{10}\right)=-\frac{57}{10}\)

\(3x-\frac{37}{10}=-\frac{19}{2}\)

\(3x=\frac{-29}{5}\)

\(x=\frac{-29}{15}\)

a, \(\frac{2}{3}x+\frac{5}{6}x+\frac{1}{2}=-\frac{3}{4}\)

\(\Leftrightarrow\frac{3}{2}x+\frac{5}{4}=0\Leftrightarrow\frac{3}{2}x=-\frac{5}{4}\Leftrightarrow x=\frac{-5}{6}\)

b, \(\frac{2}{5}+\frac{3}{5}\left(3x-3,7\right)=-\frac{53}{10}\)

\(\Leftrightarrow\frac{3}{5}\left(3x-\frac{37}{10}\right)=-\frac{57}{10}\Leftrightarrow3x-\frac{37}{10}=-\frac{10}{9}\Leftrightarrow x=-\frac{29}{15}\)