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a) \(x+5=20-\left(12-7\right)\)
\(\Rightarrow x+5=20-5\)
\(\Rightarrow x+5=15\)
\(\Rightarrow x=15-5\)
\(\Rightarrow x=10\)
b) \(15-\left(3+2x\right)=2^2\)
\(\Rightarrow3+2x=15-4\)
\(\Rightarrow3+2x=11\)
\(\Rightarrow2x=11-3\)
\(\Rightarrow2x=8\)
\(\Rightarrow x=\dfrac{8}{2}\)
\(\Rightarrow x=4\)
c) \(-11-\left(19-x\right)=50\)
\(\Rightarrow19-x=-11-50\)
\(\Rightarrow19-x=-61\)
\(\Rightarrow x=61+19\)
\(\Rightarrow x=80\)
d) \(159-\left(25-x\right)=43\)
\(\Rightarrow25-x=159-43\)
\(\Rightarrow25-x=116\)
\(\Rightarrow x=25-116\)
\(\Rightarrow x=-91\)
e) \(\left(79-x\right)-43=-\left(17-52\right)\)
\(\Rightarrow\left(79-x\right)-43=52-17\)
\(\Rightarrow79-x-43=35\)
\(\Rightarrow36-x=35\)
\(\Rightarrow x=1\)
f) \(\left(7+x\right)-\left(21-13\right)=32\)
\(\Rightarrow7+x-8=32\)
\(\Rightarrow x-1=32\)
\(\Rightarrow x=32+1\)
\(\Rightarrow x=33\)
g) \(-x+20=-15+8+13\)
\(\Rightarrow-x+20=6\)
\(\Rightarrow x=20-6\)
\(\Rightarrow x=14\)
h) \(-\left(-x+13-142\right)+18=55\)
\(\Rightarrow x-13+142+18=55\)
\(\Rightarrow x+147=55\)
\(\Rightarrow x=55-147\)
\(\Rightarrow x=-92\)
a) (-4)² + 21 + 2x = 3⁶ : 3³
16 + 21 + 2x = 3³
37 + 2x = 27
2x = 27 - 37
2x = -10
x = -10 : 2
x = -5
b) 8 - 2x = -12
2x = 8 - (-12)
2x = 20
x = 20 : 2
x = 10
c) (79 + x) - 43 = -(17 - 55)
79 + x - 43 = 38
36 + x = 38
x = 38 - 36
x = 2
a, 159 - ( 25 - x) = 43
159 - 25 + x = 43
134 + x = 43
x = 43 - 134
x = - 91
b, ( 79 -x) - 43 = -( 17 -52)
79 - x - 43 = -( -35)
36-x = 35
x = 36- 35
x = 1
( 36 + 79 ) + ( 145 - 79 - 36 )
= 115 + ( 66 - 36 )
= 115 + 30
= 145
10 - [ 12 - ( - 9 - 1 ) ]
= 10 - [ 12 - ( - 10 ) ]
= 10 - 22
= - 12
( 38 - 29 + 43 ) - ( 43 + 38 )
= ( 9 + 43 ) - 81
= 52 - 81
= - 29
271 - [ ( 43 ) + 271 - ( - 17 ) ]
= 271 - [ 314 - ( - 17 ) ]
= 271 - 331
= - 60
- 144 - [ 29 - ( + 144 ) - ( + 144 ) ]
= - 144 - [ ( - 115 ) - ( + 144 ) ]
= - 144 - ( - 259 )
= 115
(36+79)+(145-79-36)
=115+30
=145
10-[12-(-9-1)]
=10-22
=-12
(38-29+43)-(43+38)
=52-81
=(-29)
271-[(43)+271-(17)]
=271-297
=(-26)
-144-[29-(+144)-(+144)
=-144-(-259)
=115
\(a,159-\left(25-x\right)=43\)
\(\Leftrightarrow25-x=195-43\)
\(\Leftrightarrow25-x=152\)
\(\Leftrightarrow x=25-152\)
\(\Leftrightarrow x=-127\)
\(b,\left(79-x\right)-43=-\left(17-25\right)\)
\(\Leftrightarrow\left(79-x\right)-43=8\)
\(\Leftrightarrow79-x=8+43\)
\(\Leftrightarrow79-x=51\)
\(\Leftrightarrow x=79-51\Rightarrow x=28\)
\(-\left(-x+13-142\right)+18=55\)
\(\Leftrightarrow-\left(-x+13-142\right)=55-18\)
\(\Leftrightarrow-\left(-x+13-142\right)=37\)
\(\Leftrightarrow x+13-142=37\)
\(\Leftrightarrow x=37+142-13\)
\(\Leftrightarrow x=166\)
\(d,\left(102-15\right)-\left(15-x\right)=6\)
\(\Leftrightarrow87-\left(15-x\right)=6\)
\(\Leftrightarrow15-x=87-6\)
\(\Leftrightarrow15-x=81\Rightarrow x=15-81\)
\(\Leftrightarrow x=-66\)
159 − (25 − x) = 43
159 − 25 + x = 43
x = 43 − 159 + 25
x = −91.
(79 − x) − 43 = −(17 − 52)
79 − x − 43 = −17 + 52
−x = −17 + 52 − 79 + 43
−x = −1
x = 1.
f,(36+79)+(145-79-36)
=36+79+145-79-36
=(36-36)+(79-79)+145
=0+0+145
=145
g,10-[12-(-9-1)]
=10-(12+9+1)
=10-(12+10)
=10-12-10
=(10-10)-12
=0-12
=-12
h,(38-29+43)-(43+38)
=38-29+43-43-38
=(38-38)-29+(43-43)
=0-29+0
=-29
i,271-[(-43)+271-(-17)]
=271-(-43+271+17)
=271+43-271-17
=(271-271)+(43-17)
=0+26
=26
k,-144-[29-(+144)-(+144)]
=-144-(29-144-144)
=-144-29+144+144
=(-144+144)-29+144
=0-29+144
=-29+144
=115
a,-2x -(x-17)=34-(-x+25)
-2x-x+17=34+x-25
-3x+17=9+x
-3x-x=9-17
-4x=-8
-->4x=8
x=8:4
x=2
Vậy x=2
b,17-(16x-37)=2x+43
17-16x+37=2x+43
20-16x=2x+43
-16x-2x=43-20
-18x=23
x=23:(-18)
x=23/-18
Mà x là số nguyên nên --> x thuộc tập rỗng
c,-2x-3.(x-17)=34-2(-x+25)
-2x-3x+51=34-2.(-x)-25
-5x+51=9-(-2).x
-5x+(-2).x=9-51
-7x=-42
7x=42
x=42:7
x=6
Vậy x=6
e, (-25).(-13).8.(-4).125
= (-25).(-4).8.125.(-13)
= 100.1000.(-13)=-1300000
f, 38.(-43)+43.(-79)-(-43).17
= 38.(-43)+(-43).79-(-43).17
= (-43).(38+79-17)
= (-43).100=-4300
a) ( -7) . 11 + 7 . ( - 89 )
= 7 . (-11) + 7 . (-89)
= 7 . [(-11)+(-89)]
= 7 . (-100)
= -700
=> 79-x-43=-17+55
=> 36-x=38
=> x=-2
(79 - \(x\)) - 43 = -(17 - 55)
79 - \(x\) - 43 = - (-38)
\(x\) = 79 - 43 - 38
\(x\) = 36 - 38
\(x\) = -2
Vậy \(x=-2\)