`Answer:`

`1/5+2/7-1<x<\frac{13}{3}+6/5+\frac{4}{15}`

`VT =1/5+2/7-1=\frac{17}{35}-1=\frac{-18}{35}`

`VP=\frac{13}{3}+6/5+\frac{4}{15}=\frac{83}{15}+\frac{4}{15}=\frac{203}{35}`

`=>\frac{-18}{35}<x<\frac{203}{35}`

`=>-18<x<203`

Vậy `-18<x<203` với `x\inZZ`

\(\dfrac{1}{5}+\dfrac{2}{7}-1< x< \dfrac{13}{3}+\dfrac{6}{5}+\dfrac{4}{15}\)

\(\Leftrightarrow\dfrac{7}{35}+\dfrac{10}{35}-\dfrac{35}{35}< x< \dfrac{65}{15}+\dfrac{18}{15}+\dfrac{4}{15}\)

\(\Leftrightarrow\dfrac{-18}{35}< x< \dfrac{29}{5}\)

\(\Leftrightarrow\dfrac{-18}{35}< \dfrac{35x}{35}< \dfrac{203}{35}\)

\(\Leftrightarrow-18< 35x< 203\)

\(\Leftrightarrow x\in\left\{0;1;2;3;4;5\right\}\)

a) \(\dfrac{x}{-6}=\dfrac{-15}{45}\)

    \(\dfrac{-x}{6}=\dfrac{-15}{45}\)

    \(\dfrac{x}{6}=\dfrac{15}{45}\)

    \(x=\dfrac{\left(15\cdot6\right)}{45}\)

    \(x=2\)

b) \(\dfrac{x}{5}=\dfrac{16}{25}\)

    \(x=\dfrac{\left(16\cdot5\right)}{25}\)

    \(x=\dfrac{80}{25}\)

   \(x=\dfrac{16}{5}\)

c) \(\dfrac{5}{x-3}=\dfrac{20}{-12}\)

  \(x-3=\dfrac{\left(5\cdot-12\right)}{20}\)

 \(x-3=-3\)

 \(x=\left(-3\right)+3\)

\(x=0\)

d) \(\dfrac{2}{5}\cdot x=\dfrac{6}{35}\)

         \(x=\dfrac{6}{35}\div\dfrac{2}{5}\)

        \(x=\dfrac{3}{7}\)

1) |x + 2| = 4

\(\Leftrightarrow\orbr{\begin{cases}x+2=4\\x+2=-4\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=2\\x=-6\end{cases}}\)

2) 3 – |2x + 1| = (-5)

\(\Leftrightarrow\left|2x+1\right|=8\Leftrightarrow\orbr{\begin{cases}2x+1=8\\2x+1=-8\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{7}{2}\\x=\frac{-9}{2}\end{cases}}\)

3) 12 + |3 – x| = 9

\(\Leftrightarrow\left|3-x\right|=-3\)(vô lí)

=>\(x=\varnothing\) 

1) I x+2 I=4

\(\Rightarrow\orbr{\begin{cases}x+2=4\\x+2=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=2\\x=-6\end{cases}}}\)

2) \(3-|2x+1|=-5\)

\(\Leftrightarrow|2x+1|=8\)

\(\Leftrightarrow\orbr{\begin{cases}2x+1=8\\2x+1=-8\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=7\\2x=-9\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=\frac{7}{2}\\x=\frac{-9}{2}\end{cases}}}\)

3) \(12+|3-x|=9\)

\(\Leftrightarrow|3-x|=-3\)(vô lí vì I 3-x I \(\ge\)0)

1; |\(x\) + 2| = 4

    \(\left[{}\begin{matrix}x+2=-4\\x+2=4\end{matrix}\right.\)

     \(\left[{}\begin{matrix}x=-4-2\\x=4-2\end{matrix}\right.\)

     \(\left[{}\begin{matrix}x=-6\\x=2\end{matrix}\right.\)

Vậy \(x\) \(\in\) {- 6; 2}

bài 1/ 

a) ta có: \(A=\frac{15}{x-1}\)

Để A là phân số \(\Rightarrow x-1\ne0\)

                          \(\Rightarrow x\ne1\)

b) Nếu x = 7

\(\Rightarrow A=\frac{15}{7-1}\)

\(\Rightarrow A=\frac{15}{6}\)

Nếu x = -3

\(\Rightarrow A=\frac{15}{-3-1}\)

\(\Rightarrow A=\frac{15}{-4}\)

Nếu x = 4

\(\Rightarrow A=\frac{15}{4-1}\)

\(\Rightarrow A=\frac{15}{3}=5\)

c) Ta có: \(B=5\)

\(\Leftrightarrow A=\frac{15}{x-1}=5\)

\(\Leftrightarrow x-1=3\)

\(\Leftrightarrow x=4\)

Bài 2/

a) \(\frac{x}{3}=\frac{2}{6}\)

\(\Leftrightarrow6x=6\)

\(\Leftrightarrow x=1\)

b) \(-\frac{x}{14}=\frac{10}{-7}\)

\(\Leftrightarrow7x=140\)

\(\Leftrightarrow x=20\)

hok tốt!!

a,   (2\(x\) -5) + 17 = 6

      2\(x\) - 5           = 6 - 17

      2\(x\) - 5           = - 11

      2\(x\)                = - 11 + 5

     2\(x\)                 = -6

       \(x\)                 = -3

b, (-18).\(x\)           = - 36

            \(x\)           = -36 : (-18)

            \(x\)           = 2

c, 15 - (-11\(x\) - 7) = -22

           - 11\(x\) - 7 = 15 + 22

            -11\(x\) - 7 = 37

              11\(x\)        = -37 - 7

               11\(x\)       = - 44

                   \(x\)       = - 4

a) \(\left(2x-5\right)+17=6\Rightarrow2x-5=-11\Rightarrow2x=-6\Rightarrow x=-3\)

b) \(\left(-18\right)x=-36\Rightarrow x=\left(-36\right):\left(-18\right)=2\)

c) \(15-\left(-11x-7\right)=-22\)

\(\Rightarrow15+11x+7=-22\)

\(\Rightarrow11x=-22-7-15\)

\(\Rightarrow11x=-44\)

\(\Rightarrow x=-44:11=-4\)

a) (2x - 5) + 17 = 6

(2x - 5) = 6 - 17

 2x - 5 = -11

2x = -11 + 5

2x = -6

x = -6 : 2

x = -3     Vậy x = -3

b) (-18) . x = -36

               x = -36 : (-18)

               x = 2       Vậy x = 2

c) 15 - (-11x - 7) = -22

            (-11x - 7) = 15 - (-22)

            (-11x - 7) = 37

            -11x - 7    = 37

             -11x        = 37 + 7

              -11x        =  44

                   x        =  44 : (-11)

                   x        =  -4     Vậy x = -4

 ❤Nhớ k cho mk nha

#Chúc bạn học tốt❤

a) \(-65-\left(x+15\right)+105=0\)

\(-65-\left(x+15\right)=-105\)

\(x+15=-65-\left(-105\right)\)

\(x+15=40\)

\(x=25\)

b) |-6| + (-9) - (x+1) = 7

-3- (x+1) =7

       x+1  = -10

       x      = -11

c)\(\left|5-x\right|+\left(-25+7\right)=-3-\left(-10\right)\)

    \(\left|5-x\right|+\left(-18\right)=7\)

    \(\left|5-x\right|=25\)

\(\Rightarrow\orbr{\begin{cases}5-x=25\\5-x=-25\end{cases}\Rightarrow\orbr{\begin{cases}x=-20\\x=30\end{cases}}}\)

d) \(28-\left|x+6\right|+\left(-2\right)=0\)

\(28-\left|x+6\right|=2\)

\(\left|x+6\right|=26\)

\(\Rightarrow\orbr{\begin{cases}x+6=26\\x+6=-26\end{cases}\Rightarrow\orbr{\begin{cases}x=20\\x=-32\end{cases}}}\)

e) \(x-\left(13-15\right)=5+\left(10-x\right)-\left(-1\right)\)

\(x+2=5+10-x+1\)

\(x+2=16-x\)

\(x+x=16-2\)

\(2x=14\)

\(x=7\)

f) \(-120-\left(x-5\right)=125\)

\(x-5=-120-125\)

\(x-5=-245\)

\(x=-240\)

g) \(10-\left(-5+2\right)+\left(-9\right)=\left(-20+7\right)-x\)

\(-16=-13-x\)

\(x=-13+16\)

\(x=3\)