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\(12\left(x-3\right)=5\left(x-1\right)+4\)
\(\Rightarrow12x-36=5x-5+4\)
\(\Rightarrow12x-5x=-5+4+36\)
\(\Rightarrow7x=35\)
\(\Rightarrow x=5\)
\(-6\left(x-7\right)+2\left(x+10\right)=x-18\)
\(-6x+42+2x+20=x-18\)
\(-6x+2x-x=-18-20-42\)
\(-5x=-80\)
\(x=16\)
\(7\left(2x-1\right)-12\left(x-5\right)=3\)
\(\Rightarrow14x-7-12x+60=3\)
\(\Rightarrow14x-12x=3-60+7\)
\(\Rightarrow2x=-50\)
\(\Rightarrow x=-25\)
\(\left|2x-1\right|=17\)
\(\Leftrightarrow\orbr{\begin{cases}2x-1=17\\2x-1=-17\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=9\\x=-8\end{cases}}\)
\(\left|8-3x\right|=14\)
\(\Leftrightarrow\orbr{\begin{cases}8-3x=14\\8-3x=-14\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=\frac{22}{3}\end{cases}}\)

a) \(2x+5=20-\left(12-7\right)\)
\(2x+5=20-5\)
\(2x+5=15\)
\(2x=15-5\)
\(2x=10\)
\(x=10:2\)
\(x=5\)
Vậy \(x=5\)
b) \(\left|x\right|=\left|-5\right|\)
\(\Rightarrow\left|x\right|=5\)
\(\Rightarrow x=\pm5\)
Vậy \(x\in\left\{5;-5\right\}\)

a)
13/4+x=2
x=2-13/4
x=-5/4
b)
2x.17/12=3/7
2x =3/7;17/12
2x =36/119
x =36/119 : 2
x =18/119
c)
2x.17/12=19/7
2x =19/7:17/12
2x =228/119
x =228/119;2
x =114/119
d)
1/2x + 5/6=-3
1/2x =-3-5/6
1/2x =-23/6
x =-23/6:1/2
x =-23/3
=> 5(2x-5)=12-7=5
=>2x-5=5:5=1
=>2x=1+5=6
=>x=6:2=3
vậy x=3
\(5\left(2x-5\right)+7=12\)
\(\Rightarrow10x-25=12-7\)
\(\Rightarrow10x-25=5\)
\(\Rightarrow10x=5+25\)
\(\Rightarrow10x=30\)
\(\Rightarrow x=30\div10\)
\(\Rightarrow x=3\)