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-x + 20 = - (-15) - (8) + 13
-x + 20 = 15 - 8 + 13
-x + 20 = 7 + 13
- x + 20 = 20
x = 20 - 20
x = 0
-(-10) + x = -13 + (-9) + (-6)
10 + x = -13 - 9 - 6
10 + x = -28
x = -28 - 10
x = -38
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) \(\dfrac{-5}{6}-x=\dfrac{7}{12}+\dfrac{-1}{3}\)
\(\Rightarrow\dfrac{-5}{6}-x=\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-5}{6}-\dfrac{1}{4}\)
\(\Rightarrow x=\dfrac{-13}{12}\)
1. -x+20 = -(-15)-8+13
=> -x=15-8+13-20
=> -x=0
=> x=0
2. -(-10)+x=-13+(-9)+(-6)
=> 10+x=-13-9-6
=> x = -13-9-6-10
=> x = -38
3. 8-(-12)+10=-(-14)-x
=> 8+12+10=14-x
=> x = 14-8-12-10
=> x = -16
4. -(+12)+(-x)-(-3)=5-(-7)
=> -12-x+3=5+7
=> -x=5+7+12-3
=> -x=21
=> x=-21
5. 14-x+(-10)=-(-9)+(+15)
=> 14-x-10=9+15
=> -x=9+15-14+10
=> -x=20
=> x=-20
6. 12-(-17)+(-3)=-5+x
=> 12+17-3+5=x
=> x=31
7. x-(-19)-(+32)=14-(+16)
=> x+19-32=14-16
=> x=14-16+32-19
=> x=11
8. x-|-15|-|7|=-(-9)+|-5|
=> x-15-7=9+5
=> x=9+5+7+15
=> x=36
9. 15-x+17=13-(-21)
=> 15-x+17=13+21
=> -x=13+21-15-17
=> -x=2
=> x=-2
10. -|-5|-(-x)+4=3-(-25)
=> -5+x+4=3+25
=> x=3+25-4+5
=> x=29
a) \(\dfrac{1}{2}-\left(x+\dfrac{1}{3}\right)=\dfrac{5}{6}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{1}{2}-\dfrac{5}{6}\)
\(\Rightarrow x+\dfrac{1}{3}=\dfrac{-1}{3}\)
\(\Rightarrow x=\dfrac{-1}{3}-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{-2}{3}\)
b)\(\dfrac{3}{4}-\left(x+\dfrac{1}{2}\right)=\dfrac{4}{5}\)
\(\Rightarrow x+\dfrac{1}{2}=\dfrac{3}{4}-\dfrac{4}{5}\)
\(\Rightarrow x+\dfrac{1}{2}=\dfrac{-1}{20}\)
\(\Rightarrow x=\dfrac{-1}{20}-\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{-11}{20}\)
c) \(\dfrac{3}{35}-\left(\dfrac{3}{5}+x\right)=\dfrac{2}{7}\)
\(\Rightarrow\dfrac{3}{5}+x=\dfrac{3}{35}-\dfrac{2}{7}\)
\(\Rightarrow\dfrac{3}{5}+x=\dfrac{-1}{5}\)
\(\Rightarrow x=\dfrac{-1}{5}-\dfrac{3}{5}\)
\(\Rightarrow x=\dfrac{-4}{5}\)
d)\(\dfrac{2}{3}.x=\dfrac{4}{27}\)
\(\Rightarrow x=\dfrac{4}{27}:\dfrac{2}{3}\)
\(\Rightarrow x=\dfrac{2}{9}\)
e) \(\dfrac{-3}{5}.x=\dfrac{21}{10}\)
\(\Rightarrow x=\dfrac{21}{10}:\dfrac{-3}{5}\)
\(\Rightarrow x=\dfrac{-7}{2}\)
a) 2 x 53 x 12 + 4 x 6 x 87 - 3 x 8 x 40 = 53 x 24 + 24 x 87 - 24 x 40
= 24 x ( 53 + 87 - 40 )
= 24 x 100
= 2400.
b) 78 x 31 + 78 x 24 + 78 x 17 + 22 x 72 = 78 x ( 31 + 24 + 17 ) + 22 x 72
= 78 x 72 + 22 x 72
= 72 x ( 78 + 22 )
= 72 x 100
= 7200.
c) Cách 1. Ta có : 4-2=2 ; 6-4=2 ; 8-6=2 ; ... ; 100-98=2.
=> Đây là một dãy số cách đều 2 đơn vị.
Dãy số trên có số số hạng là : ( 100 - 2 ) : 2 + 1 = 50 ( số hạng )
Tổng dãy số là : ( 100 + 2 ) x 50 : 2 = 2550
Cách 2. A = 2 + 4 + 6 + 8 + ... + 98 + 100
A = 1x2 + 2x2 + 3x2 + 4x2 + ... + 49x2 + 50x2
A = ( 1 + 2 + 3 + 4 + ... + 49 + 50 ) x2
A = 1275 x 2
A = 2550.
Đáp số : a) 2400
b) 7200
c) A = 2550.
a) 2 x 53 x 12 + 4 x 6 x 87 - 3 x 8 x 40
= 24 x 53 + 24 x 87 - 24 x 40
= 24 x ( 53 + 87 - 40 )
= 24 x 100
= 2400
a) x+5=20-(12-7)
x+5=15
x =10
b) 12-3.(x+2)=3
3.(x+2)=9
x+2 =3
x =1
c) |x-3|-16=-4
|x-3| =-4+16
|x-3| =12
=> x-3=12 (1)
hoặc x-3=-12 (2)
Từ (1), => x=15
Từ (2) => x=-9
Vậy x={-9;15}
a, x + 5= 20-(12-7)
x = -5+ 20- 5 = 10
x= 10
b, 12-3.(x+2)=3
-3.(x+2)= 3-12
-3x- 6 = -9
3x= 3
x= 1
c, | x-3|-16= -4
|x-3|= 16-4
|x-3|= 12
Trường hợp 1:
x-3= 12
x= 15
Trường hợp 2:
-(x-3)=12
-x+3= 12
x= -9
a) x = 92
b) x = 7
Câu c khó quá
a, 5 . ( x - 6 ) - 415 = 15
5 . ( x -6 ) = 15 + 415
5 . ( x - 6 ) = 430
x-6 = 430 : 5
x - 6 = 86
x = 86 + 6
x = 92
b, ( 3 . x - 12 ) . 3 = \(3^3\)
3 . x - 12 = 27 : 3
3 . x - 12 = 9
3. x = 9 + 12
3 . x = 21
x = 21 : 3
x = 7
x, \(\left(5-x\right)^2\) . \(2^2\) = 64
\(\left(5-x\right)^2\) . 4 = 64
\(\left(5-x\right)^2\) = 64 : 4
\(\left(5-x\right)^2\) = 16
\(\left(5-x\right)^2\) = \(4^2\)
5 - x = 4
x = 5 -4
x =1
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