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a) x - 1/2 = 3/5
x = 3/5 + 1/2
x = 11/10
b) x - 1/2 = -2/3
x = -2/3 + 1/2
x = -1/6
c) 2/5 - x = 0,25
x = 2/5 - 0,25
x = 2/5 - 1/4
x = 3/20
![](https://rs.olm.vn/images/avt/0.png?1311)
a) Ta có: \(\dfrac{x-2}{15}+\dfrac{x-3}{14}+\dfrac{x-4}{13}+\dfrac{x-5}{12}=4\)
\(\Leftrightarrow\dfrac{x-2}{15}-1+\dfrac{x-3}{14}-1+\dfrac{x-4}{13}-1+\dfrac{x-5}{12}-1=0\)
\(\Leftrightarrow\dfrac{x-17}{15}+\dfrac{x-17}{14}+\dfrac{x-17}{13}+\dfrac{x-17}{12}=0\)
\(\Leftrightarrow\left(x-17\right)\left(\dfrac{1}{15}+\dfrac{1}{14}+\dfrac{1}{13}+\dfrac{1}{12}\right)=0\)
mà \(\dfrac{1}{15}+\dfrac{1}{14}+\dfrac{1}{13}+\dfrac{1}{12}>0\)
nên x-17=0
hay x=17
Vậy: x=17
b) Ta có: \(\dfrac{x+1}{19}+\dfrac{x+2}{18}+\dfrac{x+3}{17}+...+\dfrac{x+18}{2}+18=0\)
\(\Leftrightarrow\dfrac{x+1}{19}+1+\dfrac{x+2}{18}+1+\dfrac{x+3}{17}+1+...+\dfrac{x+18}{2}+1=0\)
\(\Leftrightarrow\dfrac{x+20}{19}+\dfrac{x+20}{18}+\dfrac{x+20}{17}+...+\dfrac{x+20}{2}=0\)
\(\Leftrightarrow\left(x+20\right)\left(\dfrac{1}{19}+\dfrac{1}{18}+\dfrac{1}{17}+...+\dfrac{1}{2}\right)=0\)
mà \(\dfrac{1}{19}+\dfrac{1}{18}+\dfrac{1}{17}+...+\dfrac{1}{2}>0\)
nên x+20=0
hay x=-20
Vậy: x=-20
![](https://rs.olm.vn/images/avt/0.png?1311)
1)
a: (36-16).(-5)+6.(-14-6)
=20.(-5)+6.(-20)
=20.(-5)+(-6).20
=20.(-5+-6)
=20.(-11)
=-220
2)
a/x+(-23)=(-100)+77
x+(-23)=-23
x=(-23)+(-23)
x=0
Vậy x=0
![](https://rs.olm.vn/images/avt/0.png?1311)
| x | + | 2x - 3 | = 0 (1)
Ta có \(\hept{\begin{cases}\left|x\right|\ge0\\\left|2x-3\right|\ge0\end{cases}}\forall x\)
\(\Rightarrow\left|x\right|+\left|2x-3\right|\ge0\forall x\) (2)
Từ (1) và (2) => (1) \(\Leftrightarrow\) \(\hept{\begin{cases}\left|x\right|=0\\\left|2x-3\right|=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=0\\2x-3=0\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=0\\2x=3\end{cases}}\)
\(\Leftrightarrow\hept{\begin{cases}x=0\\x=\frac{3}{2}\end{cases}}\)
\(\Leftrightarrow x\in\varnothing\)
Vậy \(x\in\varnothing\)
@@ Học tốt
!!! K chắc
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x - 36 : 18 = 12
x - 2 = 12 ( nhân chia trước, cộng trừ sau)
x = 12 + 2
x = 14
=>x = 14
\(x-36:18=12\)
\(=x-2=12\)
\(\Rightarrow x=12+2=14\)
^_^ ủng hộ mk nka!!!
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(\dfrac{13}{20}+\dfrac{3}{5}+x=\dfrac{5}{6}\)
\(\Rightarrow\dfrac{5}{4}+x=\dfrac{5}{6}\)
\(\Rightarrow x=\dfrac{5}{6}-\dfrac{5}{4}\)
\(\Rightarrow x=\dfrac{-5}{12}\)
b) \(x+\dfrac{1}{3}=\dfrac{2}{5}-\dfrac{-1}{3}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{11}{15}\)
\(\Rightarrow x=\dfrac{11}{15}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{5}\)
c)\(\dfrac{-5}{8}-x=\dfrac{-3}{20}-\dfrac{-1}{6}\)
\(\dfrac{-5}{8}-x=\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-5}{8}-\dfrac{1}{60}\)
\(\Rightarrow x=\dfrac{-77}{120}\)
d) \(\dfrac{3}{5}-x=\dfrac{1}{4}+\dfrac{7}{10}\)
\(\Rightarrow\dfrac{3}{5}-x=\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{3}{5}-\dfrac{19}{20}\)
\(\Rightarrow x=\dfrac{-7}{20}\)
e) \(\dfrac{-3}{7}-x=\dfrac{4}{5}+\dfrac{-2}{3}\)
\(\Rightarrow\dfrac{-3}{7}-x=\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-3}{7}-\dfrac{2}{15}\)
\(\Rightarrow x=\dfrac{-59}{105}\)
g) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
\(a.x+\left(x+10\right)+\left(x+14\right)+....+\left(x+162\right)=3434\\ x+\left(x+x+.....+x\right)+\left(10+14+18+.....+162\right)=3434\\ x+x+39+3354=3434\\ x\cdot40=80\\ x=2\)
a.x+(x+10)+(x+14)+....+(x+162)=3434
x+(x+x+.....+x)+(10+14+18+.....+162)=3434
x+x.39+3354=3434
x⋅40=80
x=2