\(a,\left(19x+2.5^2\right):14=\left(13-8\right)^2-4^2\)

\(\Leftrightarrow\left(19x+50\right):14=5^2-4^2\)

\(\Leftrightarrow\left(19x+50\right):14=9\)

\(\Leftrightarrow19x+50=126\)

\(\Leftrightarrow19x=76\Leftrightarrow x=4\)

b) x + ( x + 1 ) + ( x + 2 ) + ... + ( x + 30 ) = 1240

x + x + 1 + x + 2 + ... + x + 30 = 1240

( x + x + ... + x ) + ( 1 + 2 + ... + 30 ) = 1240

Số số hạng là : ( 30 - 1 ) : 1 + 1 = 30 ( số )

Tổng là : ( 30 + 1 ) . 30 : 2 = 465

=> 31x + 465 = 1240

=> 31x = 775

=> x = 25

Vậy........

c) 11 - ( -53 + x ) = 97

11 + 53 - x = 97

64 - x = 97

x = 64 - 97

x = -33

\(\left(19x+2.5^1\right):14=\left(13-8\right)^2-4^2.\)

\(\left(19x+10\right):14=5^2-4^2\)

\(\left(19x:4\right)+\left(10:4\right)=25-16\)

\(\left(19x:4\right)+\frac{5}{2}=9\)

\(19x:4=9-\frac{5}{2}\)

\(19x:4=\frac{13}{2}\)

\(19x=\frac{13}{2}.4=26\)

\(x=\frac{26}{19}\)

B/ \(-\left(x+84\right)+213=\left(-16\right).\)

\(-x-84+213=-16\)

\(-x+129=-16\)

\(-x=\left(-145\right)\)

\(\Rightarrow x=145\)

a)  \(\left(19x+2\cdot5^2\right):14=\left(13-8\right)^2-4^2\)

\(\left(19x+2\cdot5^2\right):14=9\)

\(19x+2\cdot5^2=9\cdot14=126\)

  \(19x+50=126\)

\(19x=126-50=76\)

\(x=\frac{76}{19}=4\)

b)   \(x+\left(x+1\right)+\left(x+2\right)+...+\left(x+30\right)=1240\)

\(\left(x+x+..+x\right)+\left(1+2+3+...+30=1240\right)\)(31 chữ số x)

\(31x+\frac{30\cdot31}{2}=1240\Leftrightarrow31x+465=1240\)

\(31x=1240-465=775\)

\(x=\frac{775}{31}=25\)

c) \(11-\left(-53+x\right)=97\)

\(11+53-x=97\Leftrightarrow64-x=97\)

\(x=64-97=-33\)

d) \(-\left(x+81\right)+213=-16\)

\(-x-81+213=-16\)

\(-x+132=-16\)

\(-x=-16-132=-148\)

\(x=148\)

..........

bn bị lộn ở câu d xem lại đi

ak xl nha tớ nhìn lầm

a, (19x+2.5²) : 14 = (13-8)² - 4²

(19x + 2.25) : 14 = 5² - 4²

(19x + 50) : 14 = 25 - 16

(19x + 50) : 14 = 9

19 x + 50 = 9.14

19x + 50 = 126 

19x = 126 - 50

19x = 76

x = 76 : 19

x = 4

vậy____

b) x + (x + 1) + (x + 2) + (x + 3)+.....+(x+30) = 1240

(x+x+x+...+x) + (1+2+3+...+30) = 1240

31x + 465 = 1240

31x = 1240 - 465

31x = 775

x = 775 : 31

x = 25

vậy____

c) |x + 7| = 20 + 5.(-3)

|x + 7| = 20 + (-15)

|x + 7| = 5

\(\Rightarrow\orbr{\begin{cases}x+7=5\\x+7=-5\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=5-7\\x=-5-7\end{cases}}\)

\(\Rightarrow\orbr{\begin{cases}x=-2\\x=-12\end{cases}}\)

vậy_____

\(\left(19x+2.5^2\right):14=\left(13-8\right)^2-4^2\)

\(\Rightarrow\left(19x+50\right):14=25-16\)

\(\Rightarrow19x+50=9.14=126\)

\(\Rightarrow19x=76\)

\(\Rightarrow x=76:19=4\)

(19x+2.5²):14 =(13-8)²-4²

(19x + 50):14  = 5²-4²

(19x + 50):14  = 9

19x + 50          = 9.14

 19x+50           = 126

  19x                 =76

     x                   =76:19

     x                   =4

Chúc các bn học tốt ah🥰🥰

c,11-(-53+x)=97

-53+x=11-97

-53+x= -86

x = -86-(-53)

x= -33