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Bài 1:
22 x 567 - 356 x 22 + 22 x 789
= 22 x ( 567 - 356 + 789 )
= 4 x 1000
= 4000
Bài 2:
12x - 10x = 58 + 2010
2x = 390626
x = 390626 : 2
x = 195313
a) \(\left(x-5.4\right)=0\)
\(\Leftrightarrow x-20=0\)
\(\Leftrightarrow x=0+20\)
\(\Leftrightarrow x=20\)
b) \(6x+4x=201\)
\(\Leftrightarrow10x=201\)
\(\Leftrightarrow x=201:10\)
\(\Leftrightarrow x=20,1\)
c) \(\left(x-4\right)\left(x-3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x-4=0\\x-3=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0+4\\x=0+3\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=4\\x=3\end{cases}}\)
\(\text{ a, 5-(10x)=-7}\)
\(\Rightarrow\) 10x=5-(-7)
\(\Rightarrow\) 10x=12
\(\Rightarrow\) x=12:10
\(\Rightarrow\) x=1,2
b, (x-5).(2x+8)=0
\(\Rightarrow\) x-5=0 hoặc 2x+8=0
\(\Rightarrow\) x =0+5 \(\Rightarrow\) 2x =0+8
\(\Rightarrow\) x =5 \(\Rightarrow\) 2x =8
\(\Rightarrow\) x =8:2
\(\Rightarrow\) x =4
vậy x\(\in\){5;4}
c, 2x-9=-8+9
\(\Rightarrow\) 2x-9=1
\(\Rightarrow\) 2x =1+9
\(\Rightarrow\) 2x =10
\(\Rightarrow\) x =10:2
\(\Rightarrow\) x =5
d, |x-9|.(-8)=-16
\(\Rightarrow\)|x-9| =-16:(-8)
\(\Rightarrow\)|x-9| =2
\(\Rightarrow\) x-9 =\(\hept{\begin{cases}2\\-2\end{cases}}\)
trường hợp 1: x-9=2
\(\Rightarrow\) x =2+9
\(\Rightarrow\) x =11
trường hợp 2: x-9=-2
\(\Rightarrow\) x =-2+9
\(\Rightarrow\) x =7
vậy x \(\in\){11;7}
# học tốt #
a) 25 + 3x = 25 - 1
3x = -1
x = -1/3
b) (6x-39):13 = 201
6x-39 = 2613
6x = 2652
x = 442
c) 2x + 35:34 = 510 : 58
2x + 3 = 25
2x = 22
...
b, \(\frac{1}{6}x+\frac{1}{10}x-\frac{4}{15}x+1=0\)
\(x\left(\frac{1}{6}+\frac{1}{10}-\frac{4}{15}\right)+1=0\)
\(x.0=-1\)
\(\Rightarrow x\in rỗng\)
\(a,80-\left(10x-5\right)=45\\ \Rightarrow80-10x+5=45\\ \Rightarrow-10x=-40\\ \Rightarrow x=4\)
\(b,\left(x+1\right)\left(x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x+1=0\\x-2=0\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)
\(c,\left|5+5x\right|=2^2.5\\ \Rightarrow\left|5+5x\right|=20\\ \Rightarrow\left[{}\begin{matrix}5+5x=20\\5+5x=-20\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}5x=15\\5x=-25\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=3\\x=-5\end{matrix}\right.\)
\(d,-10-\left(-5\right)+\left(3-x\right)=-8\\ \Rightarrow-10+5+3-x=-8\\ \Rightarrow-x=-6\\ \Rightarrow x=6\)
a) 80-(10x-5)=45
=> 80 - 10 x + 5 =45
=>-10x = -40
=>x=4
b)(x+1)×(x-2)=0
\(\Rightarrow\left[{}\begin{matrix}x+1=0\\x=2+0\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-1\\x=2\end{matrix}\right.\)
c) |5+5x|=2^2×5
=>|5+5x|=20
\(\Rightarrow\left[{}\begin{matrix}5+5x=-20\\5+5x=20\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=3\end{matrix}\right.\)
d) -10-(-5)+(3-x)=-8
=>-10+5 +3-x=-8
=>2+x=8
=>x=6
2: 12-10x=25-30x
=>20x=13
=>x=13/20
3: \(3\left(2x+3\right)-2\left(4x-5\right)=10x+21\)
=>6x+9-8x+10=10x+21
=>10x+21=-2x+19
=>12x=-2
=>x=-1/6
4: \(\Leftrightarrow25x-15-6x+12=11-5x\)
=>19x-3=11-5x
=>24x=14
=>x=7/12
5: \(\Leftrightarrow8-12x-5+10x=4-6x\)
=>4-6x=-2x+3
=>-4x=-1
=>x=1/4
6: \(\Leftrightarrow32x-24-6+9x=13-40x\)
=>41x-30=13-40x
=>81x=43
=>x=43/81
7: \(\Leftrightarrow10x-5+20x=5x-11\)
=>30x-5=5x-11
=>25x=-6
=>x=-6/25
12x - 10x = 5^8 : 5^4 + 201^0
2x = 5^4 + 1
2x = 625 + 1
2x = 626
x = 626 : 2
x = 313
\(12x-10x=5^8:5^4+201^0\)
\(\Rightarrow x\left(12-10\right)=5^4+1\)
\(\Rightarrow2x=625+1=626\)
\(\Rightarrow x=626:2=313\)
Vậy x = 313