tìm x biết :
a, x+(x+1)+(x+2)+...+70+71=71
b, 85+84+83+...+(x+2)+(x+1)+x=85
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\(311-x+82=46\left(x-21\right)\)
<=> \(311+82-46+21=x+x\)
<=> \(2x=368\)
<=> \(x=184\)
\(-x+821+534=499+x-84\)
<=> \(-x-x=499-84-821-534\)
<=> \(-2x=-940\)
<=> \(x=470\)
\(-\left(x-3+85\right)=x+70-71-5\)
<=> \(-x+3-85=x-6\)
<=> \(-x-x=-6-3+85\)
<=> \(-2x=76\)
<=> \(x=-38\)
311−x+82=46(x−21)
<=> 311+82−46+21=�+�311+82−46+21=x+x
<=> 2�=3682x=368
<=> �=184x=184
−�+821+534=499+�−84−x+821+534=499+x−84
<=> −�−�=499−84−821−534−x−x=499−84−821−534
<=> −2�=−940−2x=−940
<=> �=470x=470
−(�−3+85)=�+70−71−5−(x−3+85)=x+70−71−5
<=> −�+3−85=�−6−x+3−85=x−6
<=> −�−�=−6−3+85−x−x=−6−3+85
<=> −2�=76−2x=76
<=> �=−38x=−38
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
Tìm x biết: -(x - 3 + 85) = ( x +70 - 71) - 5
- x + 3 + 85 = x + 70 - 71 -5
- x + 88 = x - 6
2x x = 88 + 6
x = 47
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, (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
\(1.311-x+82=46+\left(x-21\right)\\ 311+82-x=46-21+x\\ 393-x=25+x\\ 393-x-25-x=0\\ 393-25-x-x=0\\ 368-2x=0\\ \Rightarrow-2x=368\\ x=368:\left(-2\right)\\ x=-184\)
\(2.-\left(x-3+85\right)=\left(x+70-71\right)-5\\ -x+3-85=x+70-71-5\\ -x-82=x-6\\ -x-82-x+6=0\\ -2x-76=0\\ -2x=76\\ x=76:\left(-2\right)\\ x=-38\)
\(3.\left(-x+821+534\right)=499+\left(x-84\right)\\ -x+821+534=499+x-84\\ -x+1355=x+415\\ -x+1355-x-415=0\\ -2x+940=0\\ -2x=-940\\ x=-940:\left(-2\right)\\ x=470\)
\(4.x+96=\left(443-x\right)-447\\x+96=443-x-447\\ x+96=-x-4\\ x+96+x+4=0\\ 2x+100=0\\ 2x=-100\\ x=-100:2\\ x=-50 \)
\(a)\)
\(x+\left(x+1\right)+\left(x+2\right)+...+70+71=71\)
\(\Rightarrow x+\left(x+1\right)+\left(x+2\right)+...+70=0\)
Gọi số số hạng trong dãy số đó là \(a\)\(\left(a\ne0\right)\)
\(x+\left(x+1\right)+\left(x+2\right)+...+70\)
\(\Rightarrow\frac{\left(x+70\right).a}{2}\)
\(\Rightarrow\frac{\left(x+70\right).a}{2}=0\)
\(\Rightarrow\left(x+70\right).a=0\)
\(\Rightarrow x+70=0\)
\(\Rightarrow x=\left(-70\right)\)
\(b)\)
\(85+84+83+...+\left(x+2\right)+\left(x+1\right)+x=85\)
\(\Rightarrow84+83+...+\left(x+2\right)+\left(x+1\right)+x=0\)
Gọi số số hạng trong dãy tính là \(a\)\(\left(a\ne0\right)\)
\(84+83+...+\left(x+2\right)+\left(x+1\right)+x\)
\(\Rightarrow\frac{\left(x+84\right).a}{2}\)
\(\Rightarrow\frac{\left(x+84\right).a}{2}=0\)
\(\Rightarrow\left(x+84\right).a=0\)
\(\Rightarrow x+84=0\)
\(\Rightarrow x=\left(-84\right)\)