a) x+3=12

x=12-3

x=9

b)(x-3):2=5¹⁴:5¹²

=>(x-3):2=5²

=>(x-3):2=25

=>x-3=25.2

=>x-3=50

=>x=50+3

=>x=53

c)4x+3x=30-20:10

=>x(4+3)=30-2

=>7x=28

=>x=28:7

=>x=4

d)2x-138=2³.3²

=>2x-138=8.9

=>2x-138=72

=>2x=72+138

=>2x=210

=>x=210:2

=>x=105

a) x + 3 = 12

x = 12 - 3

x = 9

b) ( x - 3 ) : 2 = 5¹⁴ : 5¹²

( x - 3 ) : 2 = 5^14-12

( x - 3 ) : 2 = 5²

( x - 3 ) : 2 = 25

x - 3 = 50

x = 53

c) 4x + 3x = 30 - 20 : 10

7x = 28

x = 4

d) 2x - 138 = 2³ x 3²

2x - 138 = 8 x 9

2x - 138 = 72

2x = 210

x = 105

a) x + 7 = -12

x = (-12) - 7

x = 19

b) x - 15 = -21

x = (-21) + 15

x = -6

c) 13 - x = 20

x = 13 - 20

x = -7

a, x+7=-12

\(\Leftrightarrow\) x= -19

b, x-15=-21

\(\Leftrightarrow\) x= -6

c, 13-x=20

\(\Leftrightarrow\) x=-7

bn giải chi tiết cho tớ hơn đc k

Vì n+(-n)=0 nên ta có:

12+11+10+..............+x=12

=>12+(11+10+..+x)=12

=>11+10+...............+x=0

=>x=-11( vì -11+11=0 sau đó 10+-10=0;.............)

Vậy .........

\(\dfrac{1}{3}-\dfrac{1}{12}-\dfrac{1}{20}-\dfrac{1}{30}-\dfrac{1}{42}-\dfrac{1}{56}-\dfrac{1}{72}-\dfrac{1}{90}-\dfrac{1}{110}=x-\dfrac{5}{13}\)

\(\dfrac{1}{3}\) - \(\dfrac{1}{3.4}\) - \(\dfrac{1}{4.5}\) - \(\dfrac{1}{5.6}\) - \(\dfrac{1}{6.7}\) - \(\dfrac{1}{7.8}\)- \(\dfrac{1}{8.9}\) - \(\dfrac{1}{9.10}\) - \(\dfrac{1}{10.11}\) = \(x\) - \(\dfrac{5}{13}\)

\(\dfrac{1}{3}\) - (\(\dfrac{1}{3.4}\) + \(\dfrac{1}{4.5}\) + \(\dfrac{1}{5.6}\) + \(\dfrac{1}{6.7}\)+ \(\dfrac{1}{7.8}\) + \(\dfrac{1}{8.9}\) + \(\dfrac{1}{9.10}\) + \(\dfrac{1}{10.11}\) =\(x\)-\(\dfrac{5}{13}\)

\(\dfrac{1}{3}\)  - (\(\dfrac{1}{3}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{5}\) +...+ \(\dfrac{1}{9}\) - \(\dfrac{1}{10}\) + \(\dfrac{1}{10}\) - \(\dfrac{1}{11}\)) = \(x\) - \(\dfrac{5}{13}\)

 \(\dfrac{1}{3}\) - (\(\dfrac{1}{3}\) - \(\dfrac{1}{11}\)) =  \(x\) - \(\dfrac{5}{13}\)

\(\dfrac{1}{3}\) - \(\dfrac{1}{3}\) +  \(\dfrac{1}{11}\) =  \(x\) - \(\dfrac{5}{13}\)

         \(x-\dfrac{5}{13}=\dfrac{1}{11}\)

        \(x\)           = \(\dfrac{1}{11}\) + \(\dfrac{5}{13}\)

      \(x\)           = \(\dfrac{68}{143}\)

Em cảm ơn ạ.

Áp dụng t/c dtsbn:

\(\dfrac{x-1}{8}=\dfrac{x+1}{12}=\dfrac{x+1-x+1}{12-8}=\dfrac{2}{4}=\dfrac{1}{2}\)

\(\Rightarrow x-1=\dfrac{1}{2}.8=4\Rightarrow x=4+1=5\)

12(x-1)=8(x+1)

12x - 12 =8x + 8

12x - 8x = 8 +12

4x.           = 20

  x.            = 20 :4 

   x.           = 5

\(\Rightarrow\left[{}\begin{matrix}-2x+12=10\\2x-12=10\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}-2x=-2\\2x=22\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=1\\x=11\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}-2x+12=10\\-2x+12=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=11\end{matrix}\right.\)

|x+5|+17=20

|x+5|=20-17

|x+5|=3

--> x+5=3

    x+5=-3

x= -2

x=-8

nhe duyet di nha olm

/x+5/ -(-17)= 20 <=> /x+5/ =20-17 <=> 2 trường hợp
 trường hợp 1: x+5 = 3 => x =-2
trường hợp 2 : x+5 = -3 => x = -8

\(20^{3x}=20^{13}:20^4\\ \Leftrightarrow20^{3x}=20^9\\ \Leftrightarrow3x=9\\ \Leftrightarrow x=3\)

\(20^{3x}=20^{13}:\left(4.5\right)^4\\ \Leftrightarrow20^{3x}=20^{13}:20^4\\ \Leftrightarrow20^{3x}=20^9\\ \Rightarrow3x=9\\ \Rightarrow x=9:3\\ \Rightarrow x=3\)