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2|x-1|+5=15
2|x-1|=15-5=10
|x-1|=10:2=5
nếu x-1=5 thì x=5+1=6
nếu x-1=-5 thì x=-5+1=-4
=> x=6 hoặc -4
b) 7x-14=3x+22 đề đúng như mk làm phải ko bạn
7x-3x=22+14
4x=36
x=36:4=9
![](https://rs.olm.vn/images/avt/0.png?1311)
1.a)x+7=-5-14
x+7=-19
x=-19-7
x=-26
Vậy x=-26
b)3x-4=(-2)3-11
3x-8=-11
3x=-11+8
3x=-3
x=-3:3
X=-1
Vậy x=-1
c)11+(4x-11)=-9-(-15)
11+(4x-11)=-9+15
11+(4x-11)=6
4x-11=6-11
4x=6
x=\(\dfrac{6}{4}\)
Vậy x=\(\dfrac{6}{4}\)
d)\(\left|2x-1\right|=5\)
⇒2x-1=\(\pm5\)
+Nếu 2x-1=5
2x=6
x=6:2
x=3
Vậy x=3
+Nếu 2x-1=-5
2x=-5+1
2x=-4
x=-4:2
x=-2
Vậy xϵ{3;-2}
e)\(\left|x-7\right|+3=25\)
\(\left|x-7\right|=22\)
⇒x-7=\(\pm22\)
+Nếu x-7=22
x=22+7=29
+Nếu x-7=-22
x=-22+7
x=-15
Vậy xϵ{29;-15}
![](https://rs.olm.vn/images/avt/0.png?1311)
x + 7 = - 5 - 14
x + 7 = - 19
x = - 19 - 7
x = - 26
Vậy x = - 26
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
a: \(\Leftrightarrow\dfrac{6}{7}\left(\dfrac{7}{12}x-\dfrac{14}{3}\right)=\dfrac{5}{9}-\dfrac{9}{8}=\dfrac{-41}{72}\)
\(\Leftrightarrow x\cdot\dfrac{7}{12}-\dfrac{14}{3}=-\dfrac{287}{432}\)
\(\Leftrightarrow x\cdot\dfrac{7}{12}=\dfrac{1729}{432}\)
hay \(x=\dfrac{247}{36}\)
b: \(\Leftrightarrow\dfrac{1}{5}:x=\dfrac{1}{5}+\dfrac{3}{14}-\dfrac{8}{7}=\dfrac{-51}{70}\)
hay \(x=-\dfrac{14}{51}\)
c: đề sai rồi bạn
![](https://rs.olm.vn/images/avt/0.png?1311)
1) 2(x + 5) + 3(x + 7) = 41
2x + 10 + 3x + 21 = 41
5x + 31 = 41
5x = 10
x = 2
6) 7(x - 1) + 5(3 - x) = 11x - 10
7x - 7 + 15 - 5x = 11x - 10
2x + 8 = 11x - 10
-9x = -18
x = 2
2) 5(x + 6) + 2(x - 3) = 38
5x + 30 + 2x - 6 = 38
7x + 24 = 38
7x = 14
x = 2
7) 4(2 + x) + 3(x - 2) = 12
8 + 4x + 3x - 6 = 12
7x + 2 = 12
7x = 10
x = 10/7
3) 7(5 + x) + 2(x - 10) = 15
35 + 7x + 2x - 20 = 15
9x + 15 = 15
9x = 0
x = 0
8) 5(2 + x) + 4(3 - x) = 10x - 15
10 + 5x + 12 - 4x = 10x - 15
x + 22 = 10x - 15
9x = 37
x = 37/9
4) 3(x + 4) + (8 - 2x) = 22
3x + 12 + 8 - 2x = 22
x + 20 = 22
x = 2
9) 7(x - 2) + 5(3 - x) = 11x - 6
7x - 14 + 15 - 5x = 11x - 6
2x + 1 = 11x - 6
-9x = -7
x = 7/9
5) 4(x + 5) + 3(7 - x) = 49
4x + 20 + 21 - 3x = 49
x + 41 = 49
x = 8
10) 5(3 - x) + 5(x + 4) = 6 + 4x
15 - 5x + 5x + 20 = 6 + 4x
35 = 6 + 4x
4x = 29
x = 29/4
-12.(x-5)+7.(3-x)=5
=>-12x-(-60)+21-7x=5
=>-12x+60+21-7x=5
=>-12x-7x=5-21-60
=>(-12-7).x=-76
=>-19x=-76
=>x=(-76):(-19)
=>x=4
b,(-14)+x-7=-10
=>x-7=-10+14
=>x-7=4
=>x=4+7
=>x=11