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a) \(-12\left(x-5\right)+7\left(3-x\right)=5\)
\(-12x+60+21-7x=5\)
\(-19x=5-60-21\)
\(-19x=-76\)
\(x=4\)
vậy \(x=4\)
tương tự
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\(a.\dfrac{3}{2}+\dfrac{-1}{3}< \dfrac{x}{6}< \dfrac{1}{9}+\dfrac{31}{18}\)
\(\Leftrightarrow\dfrac{7}{6}< \dfrac{x}{6}< \dfrac{11}{6}\)
\(\Leftrightarrow7< x< 11\)
\(\Leftrightarrow x\in\left\{8;9;10\right\}\)
\(b.\dfrac{-5}{12}+\dfrac{7}{12}+\dfrac{-1}{12}< \dfrac{x}{12}< \dfrac{2}{15}+\dfrac{1}{5}\)
\(\Leftrightarrow\dfrac{1}{12}< \dfrac{x}{12}< \dfrac{1}{3}\)
\(\Leftrightarrow\dfrac{1}{12}< \dfrac{x}{12}< \dfrac{4}{12}\)
\(\Leftrightarrow1< x< 4\)
\(\Leftrightarrow x\in\left\{2;3\right\}\)
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\(a,\left(x-7\right):5=0\)
\(\Rightarrow x-7=0\)
\(\Rightarrow x=7\)
\(b,\left(x:7-7\right)\left(x:12-12\right)=0\)
\(\Rightarrow\hept{\begin{cases}x:7=7\\x:12=12\end{cases}}\)
\(\Rightarrow x=1\)
\(c,300-x:5=273\)
\(\Rightarrow x:5=27\)
\(\Rightarrow x=27.5=135\)
\(d,135+x:2=150\)
\(\Rightarrow x:2=15\)
\(\Rightarrow x=30\)
a) \(\left(x-7\right):5=0\)
\(\Rightarrow x-7=0\times5\)
\(\Rightarrow x-7=0\)
\(\Rightarrow x=0+7\)
\(\Rightarrow x=7\)
Vậy x = 7
b) \(\left(x:7-7\right)\left(x:12-12\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x:7-7=0\\x:12-12=0\end{cases}}\Rightarrow\orbr{\begin{cases}x:7=7\\x:12=12\end{cases}}\Rightarrow\orbr{\begin{cases}x=49\\x=144\end{cases}}\)
Vậy x = 49 hoặc x = 144
c) \(300-x:5=273\)
\(\Rightarrow x:5=300-273\)
\(\Rightarrow x:5=27\)
\(\Rightarrow x=27\times5\)
\(\Rightarrow x=135\)
Vậy x = 135
d) \(135+x:2=150\)
\(\Rightarrow x:2=150-135\)
\(\Rightarrow x:2=15\)
\(\Rightarrow x=15\times2\)
\(\Rightarrow x=30\)
Vậy x = 30
_Chúc bạn học tốt_
x=-7/12+-5/12
x=-1
\(x--\frac{5}{12}=-\frac{7}{12}\)
\(\Leftrightarrow x+\frac{5}{12}=-\frac{7}{12}\)
\(\Leftrightarrow x=-\frac{7}{12}-\frac{5}{12}\)
\(\Leftrightarrow x=\frac{-12}{12}=-1\)