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a) \(\dfrac{5}{7}-x=-\dfrac{9}{21}\)
\(\Leftrightarrow x=\dfrac{5}{7}-\left(-\dfrac{9}{21}\right)\)
\(\Leftrightarrow x=\dfrac{15}{21}+\dfrac{9}{21}\)
\(\Leftrightarrow x=\dfrac{24}{21}=\dfrac{8}{7}\)
Vậy: \(x=\dfrac{8}{7}\)
b) \(-x-\dfrac{1}{9}=-\dfrac{2}{45}\)
\(\Leftrightarrow x+\dfrac{1}{9}=\dfrac{2}{45}\)
\(\Leftrightarrow x=\dfrac{2}{45}-\dfrac{1}{9}\)
\(\Leftrightarrow x=\dfrac{2}{45}-\dfrac{5}{45}\)
\(\Leftrightarrow x=-\dfrac{3}{45}=-\dfrac{1}{15}\)
Vậy: \(x=-\dfrac{1}{15}\)
c) \(\left|x+\dfrac{5}{6}\right|=\dfrac{11}{24}\)
\(\Leftrightarrow\left[{}\begin{matrix}x+\dfrac{5}{6}=\dfrac{11}{24}\\x+\dfrac{5}{6}=-\dfrac{11}{24}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{24}-\dfrac{5}{6}\\x=-\dfrac{11}{24}-\dfrac{5}{6}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{11}{24}-\dfrac{20}{24}\\x=-\dfrac{11}{24}-\dfrac{20}{24}\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{9}{24}=-\dfrac{3}{8}\\x=-\dfrac{31}{24}\end{matrix}\right.\)
Vậy: \(x=-\dfrac{31}{24};-\dfrac{3}{8}\)
_Chúc bạn học tốt_
a, 5/7- x=-9/21=-3/7
x = 5/7 - (-3)/7
x=8/7
Vậy x=8/7 là giá trị cần tìm

\(\frac{24}{9}-\left(x+\frac{1}{2}\right)^2=2\frac{1}{3}\)
\(\Rightarrow\frac{24}{9}-\left(x+\frac{1}{2}\right)^2=\frac{7}{3}\)
\(\Rightarrow\left(x+\frac{1}{2}\right)^2=\frac{24}{9}-\frac{7}{3}\)
\(\Rightarrow\left(x+\frac{1}{2}\right)^2=\frac{24}{9}-\frac{21}{9}\)
\(\Rightarrow\left(x+\frac{1}{2}\right)^2=\frac{3}{9}=\frac{1}{3}\)
Ta thấy: \(\frac{1}{3}\)không là SCP
\(\Rightarrow x=\varnothing\)
Vậy không tìm được x thỏa mãn
\(\frac{24}{9}-\left(x+\frac{1}{2}\right)^2=2\frac{1}{3}\)
\(\frac{8}{3}-\left(x+\frac{1}{2}\right)^2=\frac{7}{3}\)
\(\left(x+\frac{1}{2}\right)^2=\frac{8}{3}-\frac{7}{3}=\frac{1}{3}\)
Mà \(\frac{1}{3}\)không là số chính phương
=> không có x nào thỏa mãn bài trên


a) -3.(x-5) + 6.(x+2) = 9
-3x + 15 + 6x + 12 = 9
3x + 27 = 9
3x = -18
x = -6
b) 7.(x-9) - 5.(6-x) = -6 + 11.x
7x - 63 - 30 + 5x = - 6 + 11.x
=> 12x - 11x = - 6 + 63 + 30
x = 87
c) 10.(x-7) - 8.(x+5) = 6.(-5) + 24
10x - 70 -8x - 40 = -6
2x - 110 = - 6
2x = 104
x = 52

\(-7\left(5-x\right)-2\left(x-10\right)=15\)
\(\Leftrightarrow-35+7x-2x+20=15\)
\(\Leftrightarrow5x-5=15\)
\(\Leftrightarrow5x=20\)
\(\Leftrightarrow x=4\)
Vậy \(x=4\)
\(4\left(x-1\right)-3\left(x-2\right)=-|-5|\)
\(\Leftrightarrow4x-4-3x+6=-5\)
\(\Leftrightarrow x+2=-5\)
\(\Leftrightarrow x=-7\)
Vậy \(x=-7\)
~ học tốt ~

\(-x-\frac{1}{9}=\frac{-2}{15}\)
\(-x=\frac{-2}{15}+\frac{1}{9}\)
\(-x=\frac{-6}{45}+\frac{5}{45}\)
\(-x=\frac{-1}{45}\)
\(x=\frac{1}{45}\)
\(\left|x+\frac{5}{6}\right|=\frac{11}{24}\)
\(\orbr{\begin{cases}x+\frac{5}{6}=\frac{11}{24}\\x+\frac{5}{6}=\frac{-11}{24}\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{11}{24}-\frac{5}{6}\\x=\frac{-11}{24}-\frac{5}{6}\end{cases}}\)
\(\orbr{\begin{cases}x=\frac{11}{24}-\frac{20}{24}\\x=\frac{-11}{24}-\frac{20}{24}\end{cases}}\)
\(\orbr{\begin{cases}x=-\frac{3}{8}\\x=-\frac{31}{24}\end{cases}}\)
Vậy \(x=-\frac{3}{8}\) hoặc \(x=-\frac{31}{24}\)
- x - 1/9 = -2/15
-x = -2/15 + 1/9
-x = -18/135 + 15/135
-x = ( -18 ) + 15 / 135
-x = -3 / 135 = -1/45
=> x = 1/45
| x + 5/6 | = 11/24
x + 5/6 = 11/24
x = 11/24 - 5/6
x = 11/24 + ( - 5 ) /6
x = 66/144 + - 120 / 144
x = 66 + ( - 120 )/ 144
x = -54 /144 = -3/8
tk k nha( nếu đúng)
hihi mơn m.n nhiều lắm !!!!!!!!!!


e) (x+5) + (x-9) = x+2
x+5 + x -9 = x+2
2x + 5 - 9 = x+2
2x - 4 = x +2
3x = 2 +4
3x =6
x = 2
f) (27-x) + ( 15+x) = x-24
27-x + 15 +x = x-24
27 + 15 - (x - x) = x - 24
42 = x-24
x = 24 + 42
x = 66

a)\(x-\left(-24\right)=3\)
\(x+24=3\)
\(x=3-24\)
\(x=-21\)
b)\(22-\left(-x\right)=12\)
\(\Rightarrow22+x=12\)
\(\Rightarrow x=12-22\)
\(\Rightarrow x=-10\)
c) \(\left(27-x\right)+\left(15+x\right)=x-24\)
\(\Rightarrow27-x+15+x=x-24\)
\(\Rightarrow42=x-24\)
\(\Rightarrow66=x\)
d)\(x+x-\left(-4\right)=x+2\)
\(\Rightarrow x+x+4=x+2\)
\(\Rightarrow x+x-x=2-4\)
\(\Rightarrow x=-2\)
câu 2 :
\(-37+54+\left(-70\right)+9-163+246\)
\(=\left(-37-163\right)+\left(246+54\right)+\left(-70\right)+9\)
\(=-200+200+-61\)
\(=-61\)
(9 + x)= 24 : 2
9 + x = 12
x = 12 -9
x = 3
24:(9+x)=2
9+x=12
x=12-9
x=3