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\(1.311-x+82=46+\left(x-21\right)\\ 311+82-x=46-21+x\\ 393-x=25+x\\ 393-x-25-x=0\\ 393-25-x-x=0\\ 368-2x=0\\ \Rightarrow-2x=368\\ x=368:\left(-2\right)\\ x=-184\)
\(2.-\left(x-3+85\right)=\left(x+70-71\right)-5\\ -x+3-85=x+70-71-5\\ -x-82=x-6\\ -x-82-x+6=0\\ -2x-76=0\\ -2x=76\\ x=76:\left(-2\right)\\ x=-38\)
\(3.\left(-x+821+534\right)=499+\left(x-84\right)\\ -x+821+534=499+x-84\\ -x+1355=x+415\\ -x+1355-x-415=0\\ -2x+940=0\\ -2x=-940\\ x=-940:\left(-2\right)\\ x=470\)
\(4.x+96=\left(443-x\right)-447\\x+96=443-x-447\\ x+96=-x-4\\ x+96+x+4=0\\ 2x+100=0\\ 2x=-100\\ x=-100:2\\ x=-50 \)
a) 311 - x + 82 = 46 + (x - 21)
311 - x + 82 = 46 + x - 21
-x - x = 46 - 21 - 311 - 82
-2x = -368
x = -368 : (-2)
x = 184
b) -(x - 3 + 85) = (x + 70 - 71) - 5
-x + 3 - 85 = x + 70 - 71 - 5
-x - x = 70 - 71 - 5 - 2 + 85
-2x = 77
\(311-x+82=46+x-21\)
\(393-x=x+25\)
\(x+x=393-25\)
\(2x=368\)
\(x=184\)
\(311-x+82=46+x-21\)
\(393-x=x+25\)
\(x+x=393-25\)
\(2x=368\)
\(x=184\)
\(-\left(x-3+84\right)=-x+70-71-5\)
\(-x+3-84=-x+70-71-5\)
\(-x-81=-x-6\)
\(-x+x=-6+81\)
\(0x=75\)
=> pt vô nghiệm
a) x - 96 = (443 - x) - 15
x - 96 = 443 - x - 15
x + x = 443 -15 + 96
2x = 524
x = 524 : 2
x = 262
b) (x -12) - 15 = (20 - 7) - (18 + x)
x - 12 - 15 = 20 - 7 - 18 - x
x + x = 20 - 7 - 18 + 12 + 15
2x = 22
x = 22 : 2
x = 11
c) 311 - x + 82 = 46 + (x - 21)
311 - x + 82 = 46 + x - 21
-x - x = 46 - 21 - 311 - 81
-2x = -367
x = -367 : (-2)
x = 183,5
d) -(x - 3 + 85) = (x + 70 - 71) - 5
-x + 3 - 85 = x + 70 - 71 - 5
-x - x = 70 - 71 - 5 - 3 + 85
-2x = 76
x = 76 : (-2)
x = -38
e,f làm tương tự
a) x - 96 = (443 - x) - 15
x - 96 = 443 - x - 15
x + x = 443 -15 + 96
2x = 524
x = 524 : 2
x = 262
b) (x -12) - 15 = (20 - 7) - (18 + x)
x - 12 - 15 = 20 - 7 - 18 - x
x + x = 20 - 7 - 18 + 12 + 15
2x = 22
x = 22 : 2
x = 11
c) 311 - x + 82 = 46 + (x - 21)
311 - x + 82 = 46 + x - 21
-x - x = 46 - 21 - 311 - 81
-2x = -367
x = -367 : (-2)
x = 183,5
d) -(x - 3 + 85) = (x + 70 - 71) - 5
-x + 3 - 85 = x + 70 - 71 - 5
-x - x = 70 - 71 - 5 - 3 + 85
-2x = 76
x = 76 : (-2)
x = -38
e,f làm tương tự
a) 311 - x + 82 = 46 + (x - 21)
=> 393 - x = 25 + x
=> 393 - 25 = x + x
=> 368 = 2x
=>x = 368 : 2
=> x = 184
b) -(x - 3 + 85) = (x + 70 - 71) - 5
=> -x + 3 - 85 = x + 70 - 71 - 5
=> -x - 82 = x - 6
=> -x -x = 6 + 82
=> -2x = 88
=> x = 88 : (-2)
=> x = -44
\(311-x+82=46+\left(x-21\right)\)
\(393-x=36+x-21\)
\(393-36+21=2x\)
\(x=139\)
a, (x-12) -15 = (20-7) - (18+x)
<=> x - 12 - 15 = 13 - 18 - x
<=> 2x = 22
<=> x = 11
b, x- 96 = ( 443 - x) - 15
<=> x - 96 = 443 - x - 15
<=> 2x = 524
<=> x = 262
c, 311 - x + 82 = 46 + ( x- 21)
<=> 311 - x + 82 = 46 + x - 21
<=> 2x = 368
<=> x = 184
e, ( - x + 821 + 534 ) = 499 + ( x-84)
<=> - x + 821 + 534 = 499 + x - 84
<=> 2x = 940
<=> x = 470
f, x + 96 = ( 443 - x) - 447
<=> x + 96 = 443 - x - 447
<=> 2x = - 100
<=> x = - 50
a, 311 - x + 82 = 46 + ( x -21 )
311 + 82 -x = 46 + x -21
393 - x = 25 + x
393 - 25 = x + x
368 = 2x
= > x = 184
b,−( x − 3 + 85 ) = ( x + 70 − 71 ) − 5
- x + 3 - 85 = x + 70 - 71 - 5
-x -82 = x - 6
-82 + 6 = x + x
-76 = 2x
x = -38
c,− 2 ( x + 6) + 6 ( x − 10 ) = 8
-2x - 12 + 6x - 60 = 8
-2x+ 6x -12 - 60 = 8
4x -72 = 8
4x = 80
x = 20
d,| x | = 41
=> x = 41 hoặc x = 41
e, | − 8 | . | x | = | −56 |
8 . | x | = 56
=> | x | = 7
=> x=7 hoặc x = -7
f , |x − 2 | + 2 x = 19 với x ≥ 2
Ta có : | x - 2 | + 2x = 19
| x -2 | = 19 - 2x
=> x - 2 = 19-2x hoặc x -2 = - ( 19-2x)
+) x -2 = 19-2x
=> x + 2x = 19 +2
=> x.(2+1 ) = 21
=> x . 3 = 21
=> x =7
+) x-2 = - ( 19 -2x )
=> x -2 = -19 +2x
=> -2 + 19 = 2x -x
=> 17 = x
Vậy x = 17 hoặc x = 7