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a, \(x+18\) = 6 - 2\(x\)
\(x\) + 2\(x\) = 18 - 6
3\(x\) = 12
\(x\) = 4
b, 17 - \(x\) = 7 - 6\(x\)
- \(x\) + 6\(x\) = 7 - 17
5\(x\) = - 10
\(x\) = - 2
c, \(x\) + 15 = 20 - 4\(x\)
\(x\) + 4\(x\) = 20 - 15
5\(x\) = 5
\(x\) = 1
d, 7\(x\) - 4 = 20 + 3\(x\)
7\(x-3x=20+4\)
4\(x\) = 24
\(x\) = 6
e, -12 + \(x\) = 5\(x\) - 20
-12 + 20 = 5\(x\) - \(x\)
4\(x\) = 8
\(x\) = 2
f, 4\(x\) - 18 = \(x\) + 27
4\(x\) - \(x\) = 27 + 18
3\(x\) = 45
\(x\) = 15
a, 75 - 5 . ( 15 - 10 ) - ( -60 ) = 75 - 5 . 5 + 60 = 135 - 25 = 110
b, 136 - ( -7 ) + 6 - 23 - 36 = 136 + 7 + 6 - 23 - 36 = ( 136 - 36 ) + ( 7 + 6 - 23 ) = 100 - 10 = 90
c, ( -15 - 17 ) . ( -15 + 7 ) = -32 . ( -8 ) = 256
d, ( -9 - 18 ) : ( -9 ) = -27 : ( -9 ) = 3
Bài 2:
a, 2x - 17 = ( -3x - 18 )
<=> 2x + 3x = 17 - 18
<=> 5x = -1
<=> x = -1/5
b, ( 13 - IxI ) + 15 = 20
<=> 13 - |x| = 5
<=> |x| = 8
<=> x = 8 hoặc x = -8
c, Ix + 5I - ( x + 5 ) = 0
<=> |x + 5| = x + 5
Đk: x + 5 ≥ 0 => x ≥ -5
\(\Leftrightarrow\orbr{\begin{cases}x+5=x+5\\x+5=-x-5\end{cases}\Leftrightarrow}\orbr{\begin{cases}0x=0\\2x=-10\end{cases}\Leftrightarrow}\orbr{\begin{cases}x\ge-5\\x=-5\end{cases}}\)
Vậy x ≥ -5
a ) x = 1 ; x = 0
b ) x = 1 ; x = 0
c ) x không có ; x không tồn tại
d ) x không có ; x không tồn tại
a, - ( x + 84 ) + 213 = -16
=> - ( x + 84 ) = -16 - 213
=> - ( x + 84 ) =-229
=> x + 84 = 229
=> x = 145
b. x + ( -35 ) = 18
=> x = 18 - ( -35 )
=> x = 18 + 35
=> x = 53
c. -2x - ( - 17 ) = 15
=> -2x = 15 + ( -17)
=> -2x = -2
=> x = 1
\(a,-\left(x+84\right)+213=-16\)
\(x+84=213+16\)
\(x+84=229\)
\(x=229-84\)
\(x=145\)
\(b,x+\left(-35\right)=18\)
\(x=18+35\)
\(x=53\)
\(c,-2x-\left(-17\right)=15\)
\(-2x+17=15\)
\(2x=17-15\)
\(2x=2\)
\(x=1\)
a)x-2=6-5x-16
6x= -8
x= -4/3
b)-5x-(-3)-x=13-x
-5x+3-x=13-x
-5x=10
x=-2
c)15-(x-7)=-21-x
15-x+7=-21-x
22=-21 ( vô lí)
x không có giá trị
D)3x+17=2+3x+15
17=17
x có vô số giá trị
e) x-45-(x-9)=-35-x
x-45-x+9=-35-x
-x=1
x=-1
f) -5+x=15-x-2x
4x=20
x=5
g) 2x-(-17) =15
2x+17=15
2x=-2
x=-1
x - 7 = 15 - (-21)
x - 7 = 36
x = 36 + 7
x = 43
b) 3x + 17 = 2
3x = 2 - 17
3x = -15
x = -5
c) ( x - 9) = 45 - ( -35)
x - 9 = 80
x = 80 + 9
x = 89
a/ \(15-\left(x-7\right)=-21\)
\(15-x+7=-21\)
\(x=15-\left[\left(-21\right)-7\right]=15-\left(-28\right)=43\)
b/\(3x+17=2\)
\(3x=2-17=-15\)
\(x=-\frac{15}{3}=-5\)
c/\(45-\left(x-9\right)=-35\)
\(45-x+9=-35\)
\(x=45-\left[\left(-35\right)-9\right]=89\)
d/\(\left(-5\right)+x=15\)
\(x=15-\left(-5\right)=20\)
e/\(2x-\left(-17\right)=15\)
\(2x=15-17=-2\)
\(x=-\frac{2}{2}=-1\)
g/ \(Ix-2I=3\)
TH1: \(x-2=3\)
\(x=3+2=5\)
TH2: \(x-2=-3\)
\(x=\left(-3\right)+2=-1\)
=> \(x\in\left\{-1;5\right\}\)
Tìm số nguyên x, biết:
1) -16 + 23 + x = - 16
7+x=-16
x=-16-7
x=-23
2) 2x – 35 = 15
2x=15+35
2x=50
x=50:2
x=25
3) 3x + 17 = 12
3x=12-17
3x=-5
x=-5/3
4) (2x – 5) + 17 = 6
2x-5=6-17
2x-5=-11
2x=-11+5
2x=-6
x=-6:2
x=-3
5) 10 – 2(4 – 3x) = -4
2(4-3x)=10-(-4)
2(4-3x)=14
4-3x=14:2
4-3x=7
3x=4-7
3x=-3
x=-3:3
x=-1
6) - 12 + 3(-x + 7) = -18
3(-x+7)=-18-(-12)
3(x+7)=-6
x+7=-6:3
x+7=-2
x=-2-7
x=-9
a) \(x+\left(-35\right)=18\)
\(x=18-(-35)\)
\(x=18+35\)
\(x=53\)
Vậy x = 53
b) \(-2x-\left(-17\right)=15\)
\(-2x+17=15\)
\(-2x=-2\)
\(x=-2:(-2)\)
\(x=1\)
Vậy \(x=1\)
\(a,x+\left(-35\right)=18\)
\(\Rightarrow x=18-\left(-35\right)=18+35=53\)
\(b,-2x.\left(-17\right)=15\)
\(\Rightarrow-2x=-\frac{15}{17}\)
\(\Rightarrow x=\frac{-15}{17}:-2=\frac{-15}{17}.\frac{\left(-1\right)}{2}=\frac{15}{34}\)
\(c,\left|x+9\right|.2=10\)
\(\Rightarrow\left|x+9\right|=10:2=5\)
\(\Rightarrow\orbr{\begin{cases}x+9=5\\x+9=\left(-5\right)\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=\left(-4\right)\\x=\left(-14\right)\end{cases}}\)
\(a,\)\(x+\left(-35\right)=18\)
\(\Leftrightarrow x=18+35=53\)
\(b,\)\(-2x\left(-17\right)=15\)
\(\Leftrightarrow2x=\frac{15}{17}\)
\(\Leftrightarrow x=\frac{15}{17}\cdot\frac{1}{2}=\frac{15}{34}\)
\(c,\)\(\left|x+49\right|\cdot2=10\)
\(\Leftrightarrow\left|x+49\right|=5\)
\(\Leftrightarrow\hept{\begin{cases}x+49=5\\x+49=-5\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=-44\\x=-54\end{cases}}\)