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Bài 2:
a: =>x-35=-23
=>x=12
b: =>|x-8|=13
=>x-8=13 hoặc x-8=-13
=>x=21 hoặc x=-5
Bài 1:
a: =42-98-42+12-12=-98
b: =10x4x3x(-25)=40x(-25)x3=-1000x3=-3000
a, 2 x 31 x 12 + 4 x 6 x 42 + 8 x 27 x 3
= 2 x 12 x 31 + 4 x 6 x 42 + 8 x 3 x 27
= 24 x 31 + 24 x 42 + 24 x 27
= 24 x ( 31 + 24 + 27 )
= 24 x 82
= 1968
b, 2 x 53 x 12 + 4 x 6 x 87 - 3 x 8 x 40
= 24 x 53 + 24 x 87 - 24 x 40
= 24 x ( 53 + 87 - 40 )
= 24 x 100
= 2400
c, Tương tự
a) \(\left(x+13\right):5=12\)
\(\Rightarrow x+13=12\cdot5\)
\(\Rightarrow x+13=60\)
\(\Rightarrow x=60-13\)
\(\Rightarrow x=47\)
b) \(23\cdot\left(42-x\right)=23\)
\(\Rightarrow42-x=23:23\)
\(\Rightarrow42-x=1\)
\(\Rightarrow x=42-1\)
\(\Rightarrow x=41\)
a)Ta có:
\(\left\{{}\begin{matrix}\left|x+3\right|\ge0\\\left|x+9\right|\ge0\\\left|x+5\right|\ge0\end{matrix}\right.\)
\(\Rightarrow\left|x+3\right|+\left|x+9\right|+\left|x+5\right|\ge0\)
\(\Rightarrow4x\ge0\Rightarrow x\ge0\)
\(\Rightarrow\left|x+3\right|+\left|x+9\right|+\left|x+5\right|=x+3+x+9+x+5=3x+17=4x\)
\(\Rightarrow17=4x-3x\Rightarrow x=17\)
b)Tương tự câu a, ta chứng minh được \(x\ge0\)
\(\Rightarrow\left|x+1\right|+\left|x+2\right|+...+\left|x+98\right|+\left|x+99\right|=x+1+x+2+...+x+98+x+99=99x+4950=100x\)
\(\Rightarrow4950=100x-99x\Rightarrow x=4950\)
c)Ta có:
\(\left|x-1\right|+\left|x-5\right|=\left|x-1\right|+\left|5-x\right|=4=\left|x-1+5-x\right|\)
\(\Rightarrow1\le x\le5\Rightarrow x\in\left\{1;2;3;4;5\right\}\)
a) 5(x+7) - 10 = 2^3 . 5
5(x+7 ) -10 = 8 . 5 = 40
5(x+7) = 40 + 10 = 50
x + 7 = 50 : 5 = 10
x = 10 - 7 = 3
\(25-\left(25-x\right)=12+\left(42-65\right).\)
\(\Leftrightarrow25-25+x=12-23.\)
\(\Leftrightarrow x=-11.\)
Vậy \(x=-11.\)
25 - ( 25 - x ) = 12 + ( 42 - 65 )
25 - ( 25 - x ) = 12 + (-23)
25 - ( 25 - x ) = -11
25 - x = 25 - (-11)
25 - x = 36
x = 25 - 36
x = -11
25 - (25 - x) = 12 + (42 - 65)
25 - 25 + x = 12 + (-23)
x = - 11
\(25-\left(25-x\right)=12+\left(42-65\right).\)
\(\Leftrightarrow25-25+x=12-23.\)
\(\Leftrightarrow x=-11.\)
Vậy \(x=-11.\)
a,45 + x = 2x e, 4x + 3x = 70
\(\Rightarrow2x-x=45\) \(\Rightarrow7x=70\)
\(\Rightarrow x=45\) \(\Rightarrow x=10\)
Vậy x = 45 Vậy x = 10
b, 2 + x - 4 = 12 f, 6x - 18 = 0
\(\Rightarrow2+x=12+4\) \(\Rightarrow6x=18\)
\(\Rightarrow2+x=16\) \(\Rightarrow x=3\)
\(\Rightarrow x=14\) Vậy x = 3
Vậy x = 14 g, 72x : 36 = 2
c, 10 + x = 5 + 2x \(\Rightarrow72x=72\)
\(\Rightarrow2x+x=10+5\) \(\Rightarrow x=1\)
\(\Rightarrow3x=15\) Vậy x = 1
\(\Rightarrow x=5\) h, 13 + x = 5 + 2x
Vậy x = 5 \(\Rightarrow2x+x=13+5\)
d, 42 - 2x = 12 \(\Rightarrow3x=18\)
\(\Rightarrow2x=42-12\) \(\Rightarrow x=6\)
\(\Rightarrow2x=30\) Vậy x = 6
\(\Rightarrow x=15\)
Vậy x = 15
45 + x = 2x
x =45
2 + x - 4 =12
x - 2 = 12
x = 14
10 +x = 5 + 2x
-x = -5
x = 5
42 - 2x = 12
-2x = -30
x = 15
4x + 3x = 70
7x = 70
x = 10
6x - 18 = 0
6x = 18
x = 3
72x : 36 = 2
72x = 72
x = 1
13 +x = 5 +2x
-x = -8
x = 8
học tốt
a,=-56-30-12 b,=-20.-2.3.25
=-86-12 =40.3.25
=-98 = 120.25
=3000