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a.
\(10-2\left(4-3x\right)=-4\)
\(\Leftrightarrow2\left(4-3x\right)=10+4\)
\(\Leftrightarrow2\left(4-3x\right)=14\)
\(\Leftrightarrow4-3x=7\)
\(\Leftrightarrow3x=-3\)
\(\Leftrightarrow x=-1\)
b.
\(-12+3\left(-x+7\right)=-18\)
\(\Leftrightarrow3\left(-x+7\right)=-18+12=-6\)
\(\Leftrightarrow-x+7=-6:3=-2\)
\(\Leftrightarrow x=9\)
c.
\(-45:5.\left(-3-2x\right)=3\)
\(\Leftrightarrow-9.\left(-3-2x\right)=3\)
\(\Leftrightarrow-3-2x=-\dfrac{1}{3}\)
\(\Leftrightarrow2x=-\dfrac{8}{3}\)
\(\Leftrightarrow x=-\dfrac{4}{3}\notin Z\left(loại\right)\)
Câu này em ghi sai đề?
d.
\(3x-28=x+36\)
\(\Leftrightarrow2x=28+36\)
\(\Leftrightarrow2x=64\)
\(\Leftrightarrow x=32\)
e.
\(\left(-12\right)^2.x=56+10.13x\)
\(\Leftrightarrow144x=56+130x\)
\(\Leftrightarrow144x-130x=56\)
\(\Leftrightarrow14x=56\)
\(\Leftrightarrow x=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
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
![](https://rs.olm.vn/images/avt/0.png?1311)
Tìm số nguyên x, biết:
1) -16 + 23 + x = - 16
7+x=-16
x=-16-7
x=-23
2) 2x – 35 = 15
2x=15+35
2x=50
x=50:2
x=25
3) 3x + 17 = 12
3x=12-17
3x=-5
x=-5/3
4) (2x – 5) + 17 = 6
2x-5=6-17
2x-5=-11
2x=-11+5
2x=-6
x=-6:2
x=-3
5) 10 – 2(4 – 3x) = -4
2(4-3x)=10-(-4)
2(4-3x)=14
4-3x=14:2
4-3x=7
3x=4-7
3x=-3
x=-3:3
x=-1
6) - 12 + 3(-x + 7) = -18
3(-x+7)=-18-(-12)
3(x+7)=-6
x+7=-6:3
x+7=-2
x=-2-7
x=-9
![](https://rs.olm.vn/images/avt/0.png?1311)
\(12\left(x-3\right)=5\left(x-1\right)+4\)
\(\Rightarrow12x-36=5x-5+4\)
\(\Rightarrow12x-5x=-5+4+36\)
\(\Rightarrow7x=35\)
\(\Rightarrow x=5\)
\(-6\left(x-7\right)+2\left(x+10\right)=x-18\)
\(-6x+42+2x+20=x-18\)
\(-6x+2x-x=-18-20-42\)
\(-5x=-80\)
\(x=16\)
\(7\left(2x-1\right)-12\left(x-5\right)=3\)
\(\Rightarrow14x-7-12x+60=3\)
\(\Rightarrow14x-12x=3-60+7\)
\(\Rightarrow2x=-50\)
\(\Rightarrow x=-25\)
\(\left|2x-1\right|=17\)
\(\Leftrightarrow\orbr{\begin{cases}2x-1=17\\2x-1=-17\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=9\\x=-8\end{cases}}\)
\(\left|8-3x\right|=14\)
\(\Leftrightarrow\orbr{\begin{cases}8-3x=14\\8-3x=-14\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=-2\\x=\frac{22}{3}\end{cases}}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,\left|3x+1\right|-17=-12\)
\(\Rightarrow\left|3x+1\right|=-12+17\)
\(\Rightarrow\left|3x+1\right|=5\)
\(\Rightarrow\hept{\begin{cases}3x+1=5\\3x+1=-5\end{cases}}\Rightarrow\hept{\begin{cases}3x=4\\3x=-6\end{cases}}\Rightarrow\hept{\begin{cases}x=\frac{4}{3}\\x=-2\end{cases}}\)
Do đó,\(x\in\left\{\frac{4}{3};-2\right\}\)
\(b,2x+\left|x-2\right|=7\)
\(\Rightarrow2x+x-2=7\)
\(\Rightarrow3x=7+2\)
\(\Rightarrow3x=9\)
\(\Rightarrow x=3\)
c, Tương tự như trên
a)|3x+1|-17=-12
|3x+1| = -12+17
|3x+1| =5
=>3x+1=5 hoặc 3x+1= -5
+)3x+1=5
3x =5-1
3x =4
x =4:3
x =4/3
+)3x+1= -5
3x =-5-1
3x = -6
x = -6:3
x =-2
Vậy x=4/3,x= -2
K HỘ NHA
![](https://rs.olm.vn/images/avt/0.png?1311)
a)=2
b)=0.3333333333
c)=9
d)= chua tinh
e)=33
g)=5
tk minh nha ban nha
a) (2x-5)+17=16
2x-5=16-17
2x-5=-1
2x=-1+5
2x=4
x=4:2
x=2
b) 10-2.(4-3x)=-4
2.(4-3x)=10--4
2.(4-3x)=14
4-3x=14:2
4-3x=7
3x=4-7
3x=-3
x=-3:3
x=-1
![](https://rs.olm.vn/images/avt/0.png?1311)
e: =>-40+3+33+40-x=47
=>36-x=47
=>x=-11
f: =>x(x-3)(11-x)(11+x)=0
hay \(x\in\left\{0;3;11;-11\right\}\)
g: =>-62-38-x+2x=-100
=>x-100=-100
hay x=0
Câu 1 :
\(\left(x+12\right)\left(x-3\right)=0\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x+12=0\\x-3=0\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-12\\x=3\end{cases}}}\)
Vậy \(x=-12\) hoặc \(x=3\)
Câu 2 :
\(\left|2x+3\right|=5\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}2x+3=5\\2x+3=-5\end{cases}\Leftrightarrow\orbr{\begin{cases}2x=2\\2x=-8\end{cases}}}\)
\(\Leftrightarrow\)\(\orbr{\begin{cases}x=\frac{2}{2}\\x=\frac{-8}{2}\end{cases}\Leftrightarrow\orbr{\begin{cases}x=1\\x=-4\end{cases}}}\)
Vậy \(x=1\) hoặc \(x=-4\)
Câu 3 :
\(3x+17=12+2x\)
\(\Leftrightarrow\)\(3x-2x=12-17\)
\(\Leftrightarrow\)\(x=-5\)
Vậy \(x=-5\)
Chúc bạn học tốt ~