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2x-2016=2018
2x =2018+2016
2x =4034
x =4034:2
x =2017
3x +1=82
3x =82-1
3x =81
3x =34
x =4
20x-11=20x+2x-12
20x-11=x(20+2)-12
20x-11=22x-12
20x =22x-12+11
20x =22x-1
22x-2x=22x-1
2x =1
x =1:2
x =0,5
(x+1)+(x+2)+(x+3)+(x+4)=26
x+x+x+x+1+2+3+4 =26
4x+10 =26
4x =26-10
4x =16
x =16:4
x =4
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b) \(-2x+\left(-3x\right)+\left(-4x\right)+......+\left(-20x\right)=1254\)
\(\Rightarrow x.\left(-2-3-4-.......-20\right)=1254\)
\(\Rightarrow x.\left[-\left(2+3+4+.....+20\right)\right]=1254\)
\(\Rightarrow x.\left(-209\right)=1254\)
\(\Rightarrow x=1254:\left(-209\right)\)
\(\Rightarrow x=-6\)
c) \(\left|2x\right|=4\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\2x=-4\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-2\end{cases}}\)
d) \(\left|2x-1\right|=3\)
\(\Rightarrow\orbr{\begin{cases}2x-1=3\\2x-1=-3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\2x=-2\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-1\end{cases}}\)
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<=> 10x = 20x + ( 6x - 4x - 2x)
<=> 10x = 20x
=> 10x - 20x = 0
=> 10(x - 2x ) = 0
=> x - 2x = 0 => x ( 1 - 2 ) = 0
=> x = 0
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\(\left(2x+1\right)+\left(4x+2\right)+....+\left(20x+10\right)=275\)
\(\Rightarrow\left(2x+4x+....+20x\right)+\left(1+2+3+....+10\right)=275\)
\(\Rightarrow110x+55=275\)
\(\Rightarrow110x=275-55\)
\(\Rightarrow110x=220\)
\(\Rightarrow x=2\)
(2x + 1) + (4x + 2) + (6x + 3) + ... + (20x + 10) = 275
(1 + 2 + 3 + ... + 10).(2x + 1) = 275
(1 + 10).10:2.(2x + 1) = 275
11.5.(2x + 1) = 275
55.(2x + 1) = 275
2x + 1 = 275 : 55
2x + 1 = 5
2x = 5 - 1
2x = 4
x = 4 : 2
x = 2
Vậy x = 2
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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