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Bài 2:
5x-(-2x-0,3)=2,4
=>5x+2x+0,3=2,4
=>7x=2,1
hay x=0,3
a: \(2,5:4x=0,5:0,2\)
=>\(2,5:4x=0,5\cdot5=2,5\)
=>4x=1
=>\(x=\dfrac{1}{4}\)
b: \(3,8:2x=\dfrac{1}{4}:2\dfrac{2}{3}\)
=>\(3,8:2x=\dfrac{1}{4}:\dfrac{8}{3}=\dfrac{1}{4}\cdot\dfrac{3}{8}=\dfrac{3}{32}\)
=>\(2x=3,8:\dfrac{3}{32}=\dfrac{19}{5}\cdot\dfrac{32}{3}=\dfrac{608}{15}\)
=>\(x=\dfrac{608}{15}:2=\dfrac{304}{15}\)
c: \(5,25:7x=3,6:2,4\)
=>\(5,25:7x=1,5\)
=>\(7x=5,25:1,5=3,5\)
=>\(x=\dfrac{3.5}{7}=0,5\)
d: \(1,8:1,3=-2,7:5x\)
=>\(5x=-2,7:\dfrac{18}{13}=-2,7\cdot\dfrac{13}{18}=-1,95\)
=>\(x=-1,95:5=-0,39\)
2x-5=(x-7)+(12-5x)
2x-5=x-7+12-5x
=>2x-x+5x=-7+5+12
x+5x=-2+12
6x =10
=>x=10:6
x=10/6=5/3
Vậy x=5/3
Hok tốt
\( 2x - 5 = \left( {x - 7} \right) + \left( {12 - 5x} \right)\\ \Leftrightarrow 2x - 5 = x - 7 + 12 - 5x\\ \Leftrightarrow 2x - 5 = - 4x + 5\\ \Leftrightarrow 2x + 4x = 5 + 5\\ \Leftrightarrow 6x = 10\\ \Leftrightarrow x = \dfrac{{10}}{6} \)
a) \(2.\left|5x-3\right|-2x=14\)
\(2\left|5x-3\right|=14+2x\)
\(\left|5x-3\right|=\frac{14+2x}{2}\)
\(\Rightarrow\orbr{\begin{cases}5x-3=\frac{-14-2x}{2}\\5x-3=\frac{14+2x}{2}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\left(5x-3\right).2=-14-2x\\\left(5x-3\right).2=14+2x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}10x-6+2x=-14\\10x-6-2x=14\end{cases}\Rightarrow\orbr{\begin{cases}12x=-14+6\\8x=14+6\end{cases}}}\Rightarrow\orbr{\begin{cases}12x=-8\\8x=20\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
vậy \(\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
Những câu sau tương tự nhé.
\(5x-\left(-2x-0,3\right)=2,4\)
\(\Leftrightarrow5x+2x+0,3=2,4\Leftrightarrow7x=2,4-0,3=2,1\Leftrightarrow x=0,3\)