sao ko có quy luật gì vậy bạn

(x+4x+7x+....+25x)+(2+4+6+...+18)=324

117x  +   90 = 324

117x = 324- 90

117x=234

x=234/117

x=2

(x+2)+(4x+4)+(7x+6)+...+(25x+18)+(28x+20)=1560

(x+4x+7x+...+25x+28x)+(2+4+6+..+18+20)=1560

145x+110=1560

145x=1450

x=10

vậy........

(x+4x+7x+...+28x)+(2+4+6+...+20)=1560

x(1+4+7+...+28)+(20+2)[(20-2)/2+1]/2=1560

x{(28+1)[(28-1)/3+1]/2}+110=1560

145x=1450

x=1450/145=10

1)\(25x+3\left(4-6x\right)=50\)

\(25x+12-18x=50\)

\(7x+12=50\)

\(7x=38\)

\(x=\frac{38}{7}\)

2)\(4\left(2x+3\right)+2\left(3x+1\right)=120\)

\(8x+12+6x+2=120\)

\(14x+14=120\)

\(14x=106\)

\(x=\frac{53}{7}\)

a)

\(512-\left(128-5x\right)=3x+12\\ 512-128+5x=3x+12\\ 384+5x=3x+12\\ 5x-3x=12-384\\ 2x=-372\\ x=\left(-372\right):2\\ x=-186\)

b)

\(\left(2x-1\right)+\left(4x-2\right)+...+\left(400x-200\right)=5+10+...+1000\\ \left(2x+4x+...+400x\right)-\left(1+2+...+200\right)=5+10+...+1000\\ x\left(2+4+...+400\right)=\left(5+10+...+1000\right)+\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=5\cdot\left(1+2+...+200\right)+1\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=\left(5+1\right)\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=6\cdot\left(1+2+...+200\right)\\ \Rightarrow2x=6\\ x=6:2\\ x=3\)

c)

\(\left(x+2\right)+\left(4x+4\right)+\left(7x+6\right)+...+\left(25x+18\right)+\left(28x+20\right)=1560\\ \left(x+4x+7x+...+25x+28x\right)+\left(2+4+6+...+18+20\right)=1560\\ x\left(1+4+7+...+25+28\right)+110=1560\\ 145x+110=1560\\ 145x=1560-110\\ 145x=1450\\ x=1450:145\\ x=10\)

d)

\(x+4x+5x+9x+14x+...+97x=500\\ x\left(1+4+5+9+14+...+97\right)=500\)

Dãy số trong ngoặc có quy luật: Số thứ \(n\) bằng số thứ \(n-1\) cộng số thứ \(n-2\)

Suy ra dãy số đó là: \(1+4+5+9+14+23+37+60+97=250\)

Thế vào ta được:

\(250x=500\\ x=500:250\\ x=2\)

e)

\(720-\left[41-\left(2x-5\right)\right]=2^3\cdot5\\ 720-41+\left(2x-5\right)=8\cdot5\\ 720-41+2x-5=40\\ \left(720-41-5\right)+2x=40\\ 674+2x=40\\ 2x=40-674\\ 2x=-634\\ x=\left(-634\right):2\\ x=-317\)

f)

\(697:\dfrac{15x+364}{x}=17\\ \dfrac{15x+364}{x}=697:17\\ \dfrac{15x+364}{x}=41\\ \dfrac{15x+364}{x}\cdot x=41x\\ 15x+364=41x\\ 364=41x-15x\\ 364=26x\\ x=364:26\\ x=14\)

18x -19 = 21 + 8x 

18 x - 8x = 21 + 19 

10 x = 40

x =4 

g) 18 -4x=-20-6x

-4x + 6x = -20 - 18

2x = -38

x= -19

k, -10 \(x\) - 27 = -7\(x\) + 33

   -27 - 33 = -7\(x\) + 10\(x\)

3\(x\)             = -60

   \(x\)            - 20

m, -17\(x\) - 24 = -9\(x\) - 40

     -24 + 40 = -9\(x\) + 17\(x\)

     8\(x\)          = 16

       \(x\)           = 2