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a) Ta có: \(x-12=\left(-9\right)-15\)
\(\Rightarrow x-12=-24\)
\(\Rightarrow x=-12\)
b) \(2-x=17-\left(-5\right)\)
\(\Rightarrow2-x=22\)
\(\Rightarrow x=2-22\)
\(\Rightarrow x=-20\)
c) \(11-\left(15+11\right)=x-\left(25-9\right)\)
\(\Rightarrow-15=x-16\)
\(\Rightarrow x=1\)
d) \(x-\left(17-x\right)=x-7\)
\(\Rightarrow x-17+x=x-7\)
\(\Rightarrow x+x-x=-7+17\)
\(\Rightarrow x=10\)
e) \(9-25=\left(7-x\right)-\left(25+7\right)\)
\(\Rightarrow9-25=7-x-25-7\)
\(\Rightarrow-16=-25-x\)
\(\Rightarrow x=-9\)
g) \(x-13=21-x\)
\(\Rightarrow x+x=21+13\)
\(\Rightarrow2x=34\)
\(\Rightarrow x=17\)
a, x - 12 = ( -9 ) - 15
x - 12 = -24
x = -24 + 12
x = -12
b, 2 - x = 17 - ( -5 )
2 - x = 22
x = 2 - 22
x = -20
c, 11 - ( 15 + 11 ) = x - ( 25 - 9 )
11 - 26 = x - 16
-15 = x - 16
x = -15 + 16
x = 1
d, x - ( 17 - x ) = x - 7
x - 17 + x = x - 7
x + x - 17 = x - 7
x + x - x = -7 + 17
x = 10
e.9 - 25 = ( 7- x ) - ( 25 + 7 )
-16 = ( 7 - x ) -32
7 - x = -32 + 16
7 - x = 16
x = 7 - 16
x= -9
g, x - 13 = 21 - x
x + x = 21 + 13
2x = 44
x = 44 : 2
x=22
1. -x+20 = -(-15)-8+13
=> -x=15-8+13-20
=> -x=0
=> x=0
2. -(-10)+x=-13+(-9)+(-6)
=> 10+x=-13-9-6
=> x = -13-9-6-10
=> x = -38
3. 8-(-12)+10=-(-14)-x
=> 8+12+10=14-x
=> x = 14-8-12-10
=> x = -16
4. -(+12)+(-x)-(-3)=5-(-7)
=> -12-x+3=5+7
=> -x=5+7+12-3
=> -x=21
=> x=-21
5. 14-x+(-10)=-(-9)+(+15)
=> 14-x-10=9+15
=> -x=9+15-14+10
=> -x=20
=> x=-20
6. 12-(-17)+(-3)=-5+x
=> 12+17-3+5=x
=> x=31
7. x-(-19)-(+32)=14-(+16)
=> x+19-32=14-16
=> x=14-16+32-19
=> x=11
8. x-|-15|-|7|=-(-9)+|-5|
=> x-15-7=9+5
=> x=9+5+7+15
=> x=36
9. 15-x+17=13-(-21)
=> 15-x+17=13+21
=> -x=13+21-15-17
=> -x=2
=> x=-2
10. -|-5|-(-x)+4=3-(-25)
=> -5+x+4=3+25
=> x=3+25-4+5
=> x=29
a)\(-17+\left|5-x\right|=10\)
\(\Leftrightarrow\left|5-x\right|=10-\left(-17\right)\)
\(\Leftrightarrow\left|5-x\right|=10+17\)
\(\Leftrightarrow\left|5-x\right|=27\)
\(\Leftrightarrow\orbr{\begin{cases}5-x=27\\5-x=-27\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-22\\x=32\end{cases}}\)
b) \(45-5\left|12-x\right|=125\div\left(-25\right)\)
\(\Leftrightarrow45-5\left|12-x\right|=-5\)
\(\Leftrightarrow5\left|12-x\right|=45-\left(-5\right)\)
\(\Leftrightarrow5\left|12-x\right|=45+5\)
\(\Leftrightarrow5\left|12-x\right|=50\)
\(\Leftrightarrow\left|12-x\right|=10\)
\(\Leftrightarrow\orbr{\begin{cases}12-x=10\\12-x=-10\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=2\\x=22\end{cases}}\)
c) \(2< \left|3-x\right|\le5\)
\(\Leftrightarrow\left|3-x\right|\in\left\{3;4;5\right\}\)
* \(\left|3-x\right|=3\Leftrightarrow\orbr{\begin{cases}3-x=3\\3-x=-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=0\\x=6\end{cases}}}\)
* \(\left|3-x\right|=4\Leftrightarrow\orbr{\begin{cases}3-x=4\\3-x=-4\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-1\\x=7\end{cases}}}\)
* \(\left|3-x\right|=5\Leftrightarrow\orbr{\begin{cases}3-x=5\\3-x=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=8\end{cases}}}\)
d) \(\left|x+4\right|< 3\)
mà \(\left|x+4\right|\ge0\)
\(\Rightarrow\left|x+4\right|\in\left\{0;1;2\right\}\)
* \(\left|x+4\right|=0\Leftrightarrow x+4=0\Leftrightarrow x=-4\)
* \(\left|x+4\right|=1\Leftrightarrow\orbr{\begin{cases}x+4=1\\x+4=-1\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-3\\x=-5\end{cases}}}\)
* \(\left|x+4\right|=2\Leftrightarrow\orbr{\begin{cases}x+4=2\\x+4=-2\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-2\\x=-6\end{cases}}}\)
a, 2x + 35 -x+27=0
x +62=0
x=-62
b, 2x -41 -3x + 23 =0
-x -18=0
-x=18
x=-18
c, 4x -12-3x-15= -124
x -27=-124
x= -97
d, Suy ra x+3 =0 hoặc 2x-18=0
x=-3 hoặc 2x=18 => x=9
vậy x=-3 hoặc x=9
A) x + 4 = -16
x = -16 - 4
x = -20
Vậy x = -20
b) 12- ( x - 5 ) =5.4
12 -x -5 = 20
x = 7 - 20
x = -13
Vậy x= -13
c) (-2)x - ( x - 17 ) = 34 - ( -x + 25 )
( -2 )x - x + 17 = 34 + x - 25
-3x + 17 = 11 + x
-3x - x = 11 - 17
-4x = -6
x = 1,5
Vậy x = 1,5
d) 17x - ( -16x - 37 ) = 2x + 43
17x + 16x - 2x = 43 -37
30x = 6
x = 0,2
Vậy x = 0,2