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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
![](https://rs.olm.vn/images/avt/0.png?1311)
\(a,-12\left(x-5\right)+7\left(3-x\right)=5\)
\(-12x+60+21-7x=5\)
\(-12x-7x+81=5\)
\(-19x=5-81\)
\(-19x=-76\)
\(x=-76:\left(-19\right)\)
\(x=4\)
\(Vậyx=4\)
\(b,30\left(x+2\right)-6\left(x-5\right)-24x=100\)
\(30x+60-6x-30-24x=100\)
\(30x-6x-24x+60-30=100\)
\(0x+30=100\)
\(\Rightarrow Vôlý\)
Vậy không có giá trị nào của x thỏa mãn đề bài.
\(c,-5\left(x+\frac{1}{5}\right)-\frac{1}{2}\left(x-\frac{2}{3}\right)=\frac{3}{2}x-\frac{5}{6}\)
\(-5x-1-\frac{1}{2}x-\frac{1}{3}=\frac{3}{2}x-\frac{5}{6}\)
\(-5x-\frac{1}{2}x-1-\frac{1}{3}=\frac{3}{2}x-\frac{5}{6}\)
\(-\frac{11}{2}x-\frac{2}{3}=\frac{3}{2}x-\frac{5}{6}\)
\(-\frac{2}{3}+\frac{5}{6}=\frac{3}{2}x+\frac{11}{2}x\)
\(-\frac{4}{6}+\frac{5}{6}=\frac{14}{2}x\)
\(\frac{1}{6}=7x\)
\(x=\frac{1}{6}:7\)
\(x=\frac{1}{6}.\frac{1}{7}\)
\(x=\frac{1}{42}\)
\(Vậyx=\frac{1}{42}\)
\(d,-3\left(x-\frac{1}{2}\right)-5\left(x+\frac{3}{5}\right)=-x+\frac{1}{5}\)
\(-3x+\frac{3}{2}-5x-3=-x+\frac{1}{5}\)
\(-3x-5x+\frac{3}{2}-3=-x+\frac{1}{5}\)
\(-8x+\frac{3}{2}-\frac{6}{2}=-x+\frac{1}{5}\)
\(-8x-\frac{3}{2}=-x+\frac{1}{5}\)
\(-\frac{3}{2}-\frac{1}{5}=-x+8x\)
\(\frac{15}{10}-\frac{2}{10}=7x\)
\(7x=\frac{13}{10}\)
\(x=\frac{13}{10}:7\)
\(x=\frac{13}{10}.\frac{1}{7}\)
\(x=\frac{13}{70}\)
\(Vậyx=\frac{13}{70}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-12\cdot\left(x-5\right)+7\cdot\left(3-x\right)=5\)
\(-12\left(x-5\right)+7\left(-x+3\right)=5\)
\(-\left(12x-12\cdot5\right)+\left(-7x+7\cdot3\right)=5\)
\(-\left(12x-60\right)+\left(-7x+21\right)=5\)
\(-12+60+-7x+21=5\)
\(-12x-7x+0+21=5\)
\(-19+81=5\)
\(\left(-19x+81\right)+\left(-81\right)=5+\left(-81\right)\)
\(-19x+81-81=5-81\)
\(-19x=76\)
\(\frac{19x}{19}=\frac{76}{19}\)
\(x=\frac{2^2\cdot19}{19}\)
\(x=2^2=4\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\text{-12(x-5)+7(3-x)=5 }\)
\(-12x+60+21-7x=5\)
\(-12x-7x=5-21-60\)
\(-19x=-76\)
\(x=-76:\left(-19\right)\)
\(x=4\)
\(\text{ 30(x+2)-6(x-5)-24x=100}\)
\(30x+60-6x+30-24x=100\)
\(30x-6x-24x=100-30-60\)
\(0=10\)
\(\Rightarrow x\)ko tồn tại
\(\text{(x+1-5)+7(3-x)=5 }\)
\(x+1-5+21-7x=5\)
\(x-7x=5-21+5-1\)
\(-6x=-12\)
\(x=\left(-12\right):\left(-6\right)\)
\(x=2\)
\(\text{(x+1)+(x+3)+(x+5)+........+(x+99)=0}\)
\(\text{(x+1)+(x+3)+...+(x+99)=0}\)
tổng các số hang là\(\frac{\left(99+1\right)}{2}=50\)(số hạng)
=>\(\text{(x+1)+(x+3)+...+(x+99)=0}\)<=> \(\text{50.x+(1+3+5+..+99)=0}\)
<=>\(\text{50.x+(99+1)}\)\(.\frac{50}{2}=0\)<=> \(\text{50.x+2500=0=}\)>\(x=\frac{-2500}{50}=-50\)
chúc bạn học tốt
![](https://rs.olm.vn/images/avt/0.png?1311)
a) \(70-5\left(x-3\right)=45\)
\(5\left(x-3\right)=25\)
\(x-3=5\)
\(\Rightarrow x=8\)
b) \(12+\left(5+x\right)=20\)
\(5+x=8\)
\(\Rightarrow x=3\)
c) \(130-\left(100+x\right)=25\)
\(100+x=105\)
\(\Rightarrow x=5\)
d) \(175+\left(30-x\right)=200\)
\(30-x=25\)
\(\Rightarrow x=5\)
e) \(5\left(x+12\right)+22=92\)
\(5\left(x+12\right)=70\)
\(x+12=14\)
\(\Rightarrow x=2\)
a. 70 - 5.(x - 3) = 45
5.(x - 3) = 70 - 45
x - 3 = 25 : 5
x = 5 + 3
x = 8
b. 12 + (5 + x) = 20
5 + x = 20 - 12
x = 8 - 5
x = 3
c. 130 - (100 + x) = 25
100 + x = 130 - 25
x = 105 - 100
x = 5
d. 175 + (30 - x) = 200
30 - x = 200 - 175
x = 30 - 25
x = 5
e. 5.(x + 12) + 22 = 92
5.(x + 12) = 92 - 22
x + 12 = 70 : 5
x = 14 - 12
x = 2
![](https://rs.olm.vn/images/avt/0.png?1311)
\(-12\left(x-5\right)+7\left(3-x\right)=15\)
\(-12x+60+21-7x=15\)
\(-12x-7x=15-60-21\)
\(-19x=-66\)
\(x=\frac{66}{19}\)
Vây....
b)
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
(|x|+30):5-3=12
(|x|+30):5=12+3
(|x|+30)=15x5
(|x|+30)=75
|x|=75-30
|x|=45 =>x=45 hoặc -45
(|x|+30):5-3=12
(|x|+30):5=12+3
(|x|+30):5=15
(|x|+30)=15/5
(|x|+30)=3
|x|=3-30=-27
Vì GTTĐ luôn lớn hơn hoặc bằng 0
Mà |x|=-27#0
Nên x ko có giá trị nào cả