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\(3\left(2x-6\right)-4\left(1+2x\right)-2\left(x-4\right)=4-3\left(1+2x\right)-5\left(1-2x\right).\)
\(\Leftrightarrow6x-18-4-8x-2x+8=4-3-6x-5+10x\)
\(\Leftrightarrow-4x-14=4x-4\)
\(\Leftrightarrow-4x-4x=-4+14\)
\(\Leftrightarrow-8x=10\)
\(\Leftrightarrow x=-\frac{5}{4}\)

\(\frac{x-2}{2}-\frac{1+x}{3}=\frac{4-3x}{4}-1\)
\(\Leftrightarrow\frac{3\left(x-2\right)-2\left(1+x\right)}{6}=\frac{4-3x-4}{4}\)
\(\Leftrightarrow\frac{3x-6-2-2x}{6}=-\frac{3x}{4}\)
\(\Leftrightarrow\frac{x-8}{6}=-\frac{3x}{4}\)
\(\Leftrightarrow4x-32=-18x\)
\(\Rightarrow x=\frac{16}{11}\)

a) \(\left|-4x+1\frac{1}{3}\right|=x+2\frac{1}{7}\)
TH1: \(-4x+1\frac{1}{3}=x+2\frac{1}{7}\)
\(-4x-x=2\frac{1}{7}-1\frac{1}{3}\)
\(-5x=\frac{17}{21}\)
=> ...
TH2: \(-4x+1\frac{1}{3}=-x-2\frac{1}{7}\)
...
rùi bn tự lm típ nha!
b) 22x-1+4x+2 = 264
=> 22x: 2 + (22)x+2=264
22x.1/2 + 22x+4=264
22x.1/2 + 22x.24 = 264
22x.(1/2 + 24) = 264
22x. 33/2 = 264
22x = 16
22x = 24
=> 2x = 4
x = 2

Nhắc lại kiến thức \(!a!=a,,,,\forall a\ge0\)
a) !2x-6!=2x-6 với mọi 2x-6>=0=> x>=3
b) 3-x=!x-3!=!3-x! với mọi 3-x>=0=> x<=3
c)\(C=x^2-2x+3=x^2-x-x+1+2=x\left(x-1\right)-\left(x-1\right)+2=\left(x-1\right)^2+2\)
để C chia hết cho (x-1) => 2 phải chia hết cho (x-1)
x-1=U(2)={-2,-1,1,2}
x={-1,0,2,3}

a)\(x^2-3x-5⋮x-3\)
\(x\left(x-3\right)-5⋮x-3\)
\(\Rightarrow5⋮x-3\)
\(\Rightarrow x-3\in\left\{.........\right\}\)
\(\Rightarrow x\in\left\{........\right\}\)
b)\(2x-2+3x+2⋮x=1\)
\(2\left(x+1\right)-4+3\left(x+1\right)-1⋮x+1\)
\(5\left(x+1\right)-5⋮x=1\)
\(\Rightarrow5⋮x+1\)
c)\(\left|5-2x\right|=17\)\(\Rightarrow\orbr{\begin{cases}5-2x=17\\5-2x=-17\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}2x=-12\\2x=22\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}x=-6\\x=11\end{cases}}\)
Mà \(x\le6\Rightarrow x=-6\)

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sửa đề :
2x + 2x+3 = 576
2x . 1 + 2x . 23 = 576
2x . ( 1 + 23 ) = 576
2x . 9 = 576
2x = 576 : 9
2x = 64
2x = 26
=> x = 6
2x+2x+3=576
2x(1+23)=576
2x=579/9
2x=64
2x=26
x=6