x + (-23 ) = -100 + 77

x + ( -23 ) = -23

x                = -23 - ( -23 )

x                = -23 + 23

x                = 0

( -15 ) + x  = ( -14 ) - ( -57 )

( -15 ) + x  = 43

               x  = 43 - ( -15 )

               x  = 43 + 15

               x  = 58 

Mấy câu còn lại cũng dễ bn tự làm nha! Bye bye 

\(x+\left(-23\right)=-100+77\)

\(\Leftrightarrow x-23=-23\)

\(\Leftrightarrow x=-23+23\)

\(\Leftrightarrow x=0\)

\(-15+x=-14-\left(-57\right)\)

\(\Leftrightarrow-15+x=43\)

\(\Leftrightarrow x=43+15\)

\(\Leftrightarrow x=48\)

\(11-\left(15+11\right)=x-\left(25-9\right)\)

\(\Leftrightarrow11-26=x-16\)

\(\Leftrightarrow x-16=15\)

\(\Leftrightarrow x=-15+16\)

\(\Leftrightarrow x=1\)

\(x-\left(17-x\right)=x-7\)

\(\Leftrightarrow x-17+x=x-7\)

\(\Leftrightarrow2x+17=x-7\)

\(\Leftrightarrow x-2x=7-17\)

\(\Leftrightarrow-x=-10\)

\(\Leftrightarrow x=10\)

\(\left(-12\right)^{2x}=56+10.13x\)

\(\Leftrightarrow144^x=56+10.13x\)

\((-12)^2\cdot x=56-(-10)\cdot13x\)

\(\Rightarrow144\cdot x=56-(-130x)\)

\(\Rightarrow144x=56+130x\)

\(\Rightarrow144x-130x=56\)

\(\Rightarrow14x=56\)

\(\Rightarrow x=4\)

P/S : Hoq chắc :D

a) 2|x+1|=10

\(\left|x+1\right|\) = 10:2

\(\left|x+1\right|\) = 5

\(\left[{}\begin{matrix}x+1=5\\x+1=-5\end{matrix}\right.\) \(\Rightarrow\) \(\left[{}\begin{matrix}x=5-1\\x=\left(-5\right)-1\end{matrix}\right.\) \(\Rightarrow\) \(\left[{}\begin{matrix}x=4\\x=-6\end{matrix}\right.\)

b) (−12)2x=56+10.13x

144x= 56+130x

144x-130x= 56

14x= 56

x= 56: 14

x= 4

a) 2\(|\)x + 1\(|\) = 10 \(\Rightarrow\) \(|\)x + 1\(|\) = 5

\(\Rightarrow\) x + 1 = 5 hay x = 4

hoặc x + 1 = \(-\)5 hay x = \(-\)6.

ĐS : x = 4, x = \(-\)6.

b) x = 4.

= 144 . x = 56 + 130. x

= 144 . x - 130 . x = 56

= x.[144 - 130] = 56

= x.14 = 56

= x = 56 : 14

= x = 4

Đáp án là B

Ta có:

- 12 2 .x = 56 + 10.13x

144x = 56 + 130x

144x - 130x = 56

14x = 56

x = 4

a) (-12)².x = 56 + 10.13x

=> 144.x = 56 + 130x

=> 144x - 130x = 56

=> 14x = 56

=>x = 56 : 14

=> x = 4

b) 80 - (x² + 5) = 66

=> x² + 5 = 80 - 66

=> x² + 5 = 14

=> x² = 14 - 5

=> x² = 9

=> x² = 3²

=> \(\orbr{\begin{cases}x=3\\x=-3\end{cases}}\)

c) 9 - 25 = (7 - x) - (25 + 7)

=> -16 = (7 - x) - 32

=> 7 - x = -16 + 32

=> 7 - x = 16

=> x = 7 - 16

=> x = -9

d) \(\left(x+5\right)^2=16\)

=> \(\left(x+5\right)^2=4^2\)

=> \(\orbr{\begin{cases}x+5=4\\x+5=-4\end{cases}}\)

=> \(\orbr{\begin{cases}x=-1\\x=-9\end{cases}}\)

a)\(\left(-12\right)^2.x=56+10.13x\)

\(144x=56+130x\)

\(144x-130x=56\)

\(14x=56\)

\(\Rightarrow x=4\)

Chú ý rằng |a| = b với b > 0 thì a = b hoặc a = - b.

a ) x ∈ − 5 8 ; 5 8 b ) x ∈ 1 12 ; 1 4

c ) x ∈ − 17 30 ; 9 10 d ) x ∈ − 19 4 ; 11 2

a)

1 5 27 + 3 x − 7 9 3 = 24 27 3 x − 7 9 3 = 24 27 − 1 5 27 3 x − 7 9 3 = − 8 27 3 x − 7 9 = − 2 3 3 x = 1 9 x = 1 27

b)

2 x − 1 2 = 3 4 2 x = 5 4 x = 5 8 x = ± 5 8

c) 

2 x − 1 3 + 5 6 = 1 2 x − 1 3 = 1 6 2 x − 1 3 = ± 1 6

TH1:

2 x − 1 3 = 1 6 2 x = 1 2 x = 1 4

TH2:

2 x − 1 3 = − 1 6 2 x = 1 6 x = 1 12

Vậy  x = 1 4 hoặc x = 1 12

Sửa đề: \(2x+\dfrac{11}{6}+\dfrac{23}{12}+\dfrac{39}{20}+\dfrac{59}{30}+\dfrac{83}{42}+\dfrac{111}{56}=12\)

\(\Leftrightarrow2x+\left(2+2+2+2+2+2\right)-\left(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}\right)=12\)

\(\Leftrightarrow2x-\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{7}-\dfrac{1}{8}\right)=0\)

\(\Leftrightarrow2x-\dfrac{3}{8}=0\)

hay x=3/16