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a) 3x-17=x+3
3x-x=17+3
2x=20 =>x=10
b) |x-3|-12=|-5|
|x-3|=17
x-3=17 hoặc x-3=-17
nếu x-3=17 thì x=20
nếu x-3=-17 thì x=-14
c) 2,5-(x-5)=-415-(15-415)
2,5-(x-5)=-15
x-5=2,5+15
x-5=17,5 =>x=22,5
1. 3x - 17 = x+3
3x - x = 3 + 17
2x = 20
x = 20 :2
x = 10
2. |x-3| - 12 = |-5|
|x-3| -12 = 5
|x-3| = 5 + 12
|x-3| = 17
=> x-3 = +17 , -17
- x - 3 = 17
x = 17 + 3
x = 20
- x - 3 = -17
x = -17 + 3
x = -14
3 . 25 - ( x -5 ) = -415 -( 15 -415)
25 - x +5 = -415 - 15 +415
25 - x +5 = ( -415 + 415) -15
25 - x +5 = 0-5 = -5
25 - x = -5-5
25 - x = -10
x = 25 - -10
x = 35
4. ( x -3 ) . ( 2x +6 ) = 0
=> x-3 = 0 hoặc 2x +6 = 0
- x - 3 = 0
x = 0 + 3 = 3
- 2x +6 = 0
2x = 0-6=-6
x = -6 : 2
x = -3
\(1;3x-17=x+3\)
\(\Leftrightarrow3x-x=3+17\)
\(\Leftrightarrow2x=20\)
\(\Rightarrow x=10\)
\(2;\left|x-3\right|-12=\left|-5\right|\)
\(\Leftrightarrow\left|x-3\right|-12=5\)
\(\Leftrightarrow\left|x-3\right|=5+12\)
\(\Leftrightarrow\left|x-3\right|=17\)
\(\Rightarrow\orbr{\begin{cases}x-3=17\\3-x=17\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=17+3\\-x=17-3\end{cases}\Leftrightarrow\orbr{\begin{cases}x=20\\x=-14\end{cases}}}\)
\(3;25-\left(x-5\right)=-415-\left(15-415\right)\)
\(\Leftrightarrow25-x+5=-415-15+415\)
\(\Leftrightarrow-x=-415-15+415-25-5\)
\(\Leftrightarrow-x=-45\)
\(\Rightarrow x=45\)
\(4;\left(x-3\right)\left(2x+6\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x-3=0\\2x+6=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=3\\x=-3\end{cases}}}\)
a)3-[17-x]=289-325
[17-x]=3-(289-325)
[17-x]=3-(-36)
[17-x]=39
x=17-39
x=-22
b)25-[x+5]=-415-[15-415]
25-[x+5]=-415+400
25-[x+5]=-15
[x+5]=25+15
[x+5]=40
x=40-5
x=35
\(a)484+x=\left(-632\right)+\left(-548\right)\)
\(484+x=-1180\)
\(x=(-1180)-484\)
\(x=-1664\)
\(b)\left(-x\right)+\left(-62\right)+\left(-46\right)=-14\)
\(\left(-x\right)+\left(-62\right)=-14-\left(-46\right)\)
\(\left(-x\right)+\left(-62\right)=-14+46\)
\(\left(-x\right)+\left(-62\right)=32\)
\(\left(-x\right)=32-\left(-62\right)\)
\(\left(-x\right)=32+62\)
\(\left(-x\right)=94\)
\(\Rightarrow x=94\)
\(c)25+\left(x-5\right)=-415-\left(15-415\right)\)
\(25+\left(x-5\right)=-415-\left(-400\right)\)
\(25+\left(x-5\right)=-415+400\)
\(25+\left(x-5\right)=-15\)
\(x-5=-15-25\)
\(x-5=-40\)
\(x=-40+5\)
\(x=-35\)
a, | x + 3 | - 12 = | -5 |
x + 3 - 12 = 5
x + 3 = 5 + 12
x + 3 = 17
x = 17 - 3 = 14
b, 25 - ( x- 5 ) = 415 x ( 15 - 415 )
25 - ( x - 5 ) = 415 x ( - 400 )
25 - ( x - 5 ) = - 166000
x - 5 = 25 - ( - 166000)
x - 5 = 166025
x = 166025 + 5
x = 166030
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