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11/12-(5/42-x)=-(15-11/13)
=>11/13-(5/42-x)=184/13
=>5/42-x=11/13- (-184/13)
=>5/42-x=15
=>x=5/42-15
=>x=-625/42
5/42-x=11/13- [-(15-11/13)]=11/13+15-11/13
5/42-x=(11/13-11/13)+15=15
x=5/42-15=5/42-630/42
x=-625/42
Vậy x=-625/42
Bài làm:
a) \(\left(\frac{2x}{7}-5\right)\div\left(-8\right)=0,75\)
\(\Leftrightarrow\frac{2x}{7}-5=-6\)
\(\Leftrightarrow\frac{2x}{7}=-1\)
\(\Leftrightarrow x=-\frac{7}{2}\)
b) \(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{15}{28}-\frac{11}{13}\right)\)
\(\Leftrightarrow x+\frac{11}{13}-\frac{5}{42}=\frac{11}{13}-\frac{15}{28}\)
\(\Rightarrow x=-\frac{5}{7}\)
\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=-\left(\frac{15}{28}-\frac{11}{13}\right)\)
\(\frac{11}{13}-\frac{5}{42}+x=-\frac{15}{28}+\frac{11}{13}\)
\(\frac{-5}{42}+x=-\frac{15}{28}+\left(\frac{11}{13}-\frac{11}{13}\right)\)
\(\frac{-5}{42}+x=-\frac{15}{28}\)
\(x=-\frac{15}{28}+\frac{5}{42}\)
\(x=-\frac{45}{84}+\frac{10}{84}\)
\(x=-\frac{35}{84}\)
Vậy \(x=-\frac{35}{84}\).
\(\frac{11}{13}-\left(\frac{5}{42}-x\right)=\frac{113}{364}\)
\(\left(\frac{5}{42}-x\right)=\frac{11}{13}-\frac{113}{364}\)
\(\left(\frac{5}{42}-x\right)=\frac{15}{28}\)
\(x=\frac{5}{42}-\frac{15}{28}\)
\(x=-\frac{5}{12}\)
vậy \(x=-\frac{5}{12}\)
\(\frac{7}{5}x+\frac{13}{2}+\frac{6}{3}x=\frac{1}{15}x+\frac{17}{2}\)
=\(\frac{7}{5}x+\frac{6}{3}x-\frac{1}{15}x=\frac{17}{2}-\frac{13}{2}\)
\(\frac{10}{3}x=2\)
x=\(\frac{3}{5}\)
\(\frac{7}{5}.x+\frac{13}{2}+\frac{6}{3}.x=\frac{1}{15}.x+\frac{17}{2}\)
\(\left(\frac{7}{5}+2\right).x+\frac{13}{2}=\frac{1}{15}.x+\frac{17}{2}\)
\(\frac{17}{5}.x+\frac{13}{2}=\frac{1}{15}.x+\frac{17}{2}\)
\(\frac{17}{5}.x-\frac{1}{15}.x=\frac{17}{2}-\frac{13}{2}\)
\(\left(\frac{17}{5}-\frac{1}{15}\right)x=2\)
\(\frac{10}{3}.x=2\)
\(x=2:\frac{10}{3}\)
\(x=\frac{3}{5}\)
Tìm x , biết :
|x-2| = -3
Vô lí vì |x-2| phải lớn hơn hoặc bằng 0
=> không có giá trị x nào thỏa mãn đề bài trên .
|x-7| - 5 + 3 = 1
<=> |x-7| - 5 = -2
<=> |x-7| = 3
<=> x - 7 = 3 hoặc x - 7 = -3
<=> x = 10 hoặc x = 4
Vậy x€ { 10 ; 4 }
|x+5| - 5 = 4 - (-3)
<=> |x+5| - 5 = 7
<=> |x+5| = 7 + 5
<=> |x +5| = 12
<=> x + 5 = 12 hoặc x + 5 =-12
<=> x = 7 hoặc x = -17
Vậy x € { 7 ; -17 }
a ) | x + 1/3 | = 5/6
+) x + 1/3 = 5/6 hay x + 1/3 = -5/6
x = 5/6 - 1/3 x = -5/6 - 1/3
x = 1/2 x =-7/6
b ) 11/13 - ( 5/42 - x ) = - ( 15/28-11/13 )
11/13 - ( 5/42 - x ) = 113/364
( 5/42 - x ) = 11/13 - 113/364
( 5/42 - x ) = 15/28
x = 5/42 - 15/28
x = -5/12
c ) | x |/186 = ( 1 - 303030 / 313131 ) + ( 616161 / 626262 - 1 )
| x | / 186 = 1/62
| x | = 1/62 . 186
| x | = 3
x = 3 hoặc -3
-16 + 23 + x = -16
7 + x = -16
x = -16 - 7
x = -23
2x + 35 = -15
2x = -15 - 35
2x = -50
x = -25
-13 x |x | = -26
x = -26 : (-13)
x = 2
Vậy x = 2 hoặc -2
|2x - 5| = 13
2x = 13 + 5
2x = 18
x = 9
(x - 3) x (x + 2) = 0
\(\Leftrightarrow\orbr{\begin{cases}x-3=0\\x+2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
2)2x+35=-15
2x =-15-35
2x = -50
x =-25
1)-16+23+x=-16
7+x =-16
x =-16-7
x =-23
3)-13 * lxl =-26
lxl = -26:-13
lxl =2
<=>x=-2 hoac x=2
5) (x-3).(x+2) =0
<=>\(\orbr{\begin{cases}x-3=0\\x+2=0\end{cases}}\) <=>\(\orbr{\begin{cases}x=3\\x=-2\end{cases}}\)
