a) \(-\left(\frac{3}{17}+\frac{2}{13}\right)-\left(-\frac{20}{17}+\frac{11}{13}\right)\)

\(=-\frac{3}{17}-\frac{2}{13}+\frac{20}{17}-\frac{11}{13}\)

\(=-\frac{3}{17}+\frac{20}{17}-\frac{2}{13}-\frac{11}{13}\)

\(=\frac{17}{17}-\frac{13}{13}\)

\(=1-1=0\)

a) Ta có: \(6x\left(x-5\right)+3x\left(7-2x\right)=18\)

\(\Leftrightarrow6x^2-30x+21x-6x^2=18\)

\(\Leftrightarrow-9x=18\)

hay x=-2

Vậy: S={-2}

b) Ta có: \(2x\left(3x+1\right)+\left(4-2x\right)\cdot3x=7\)

\(\Leftrightarrow6x^2+2x+12x-6x^2=7\)

\(\Leftrightarrow14x=7\)

hay \(x=\dfrac{1}{2}\)

Vậy: \(S=\left\{\dfrac{1}{2}\right\}\)

c) Ta có: \(0.5x\left(0.4-4x\right)+\left(2x+5\right)\cdot x=-6.5\)

\(\Leftrightarrow0.2x-2x^2+2x^2+5x=-6.5\)

\(\Leftrightarrow5.2x=-6.5\)

hay \(x=-\dfrac{5}{4}\)

Vậy: \(S=\left\{-\dfrac{5}{4}\right\}\)

d) Ta có: \(\left(x+3\right)\left(x+2\right)-\left(x-2\right)\left(x+5\right)=6\)

\(\Leftrightarrow x^2+5x+6-\left(x^2+3x-10\right)=6\)

\(\Leftrightarrow x^2+5x+6-x^2-3x+10=6\)

\(\Leftrightarrow2x+16=6\)

\(\Leftrightarrow2x=-10\)

hay x=-5

Vậy: S={-5}

e) Ta có: \(3\left(2x-1\right)\left(3x-1\right)-\left(2x-3\right)\left(9x-1\right)=0\)

\(\Leftrightarrow3\left(6x^2-5x+1\right)-\left(18x^2-29x+3\right)=0\)

\(\Leftrightarrow18x^2-15x+3-18x^2+29x-3=0\)

\(\Leftrightarrow14x=0\)

hay x=0

Vậy: S={0}

mọi người giải giúp mình với ạ

\(1\frac{1}{5}+\frac{4}{5}:x=0,75\)

\(\frac{6}{5}+\frac{4}{5}:x=\frac{3}{4}\)

\(\frac{4}{5}x=-\frac{9}{20}\)

\(x=-\frac{9}{16}\)

lỡ tay ấn đăng :(( 

\(\frac{1}{10}:\left(\frac{3}{4}-2x\right)^2=0,4\)

\(\left(\frac{3}{4}-2x\right)^2=\frac{1}{4}\)

\(\left(\frac{3}{4}-2x\right)^2=\left(\frac{1}{2}\right)^2\)

\(\Rightarrow\orbr{\begin{cases}\frac{3}{4}-2x=\frac{1}{2}\\\frac{3}{4}-2x=-\frac{1}{2}\end{cases}\Rightarrow\orbr{\begin{cases}2x=\frac{1}{4}\\2x=\frac{5}{4}\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{1}{2}\\x=\frac{5}{8}\end{cases}}}\)

BÀI 2

60%.x + 0,4.x + x:3= 2

\(\frac{60}{100}\)x + \(\frac{4}{10}\).x + x. \(\frac{1}{3}\)=2

\(\frac{3}{5}\).x + \(\frac{2}{5}\).x + x.\(\frac{1}{3}\)=2 

(\(\frac{3}{5}\)+ \(\frac{2}{5}\)+ \(\frac{1}{3}\)) .x =2

\(\frac{4}{3}\).x                          =2

        x                            = 2: \(\frac{4}{3}\)

          x                          = \(\frac{3}{2}\)

Vậy x=\(\frac{3}{2}\)

k cho mik nha các bạn

Bài 2 :

60%x + 0.4x + x : 3 = 2

\(x.\left(\frac{60}{100}+\frac{2}{5}+\frac{1}{3}\right)\)= 2

\(x.\frac{4}{3}\)= 2

\(x=2.\frac{3}{4}\)

\(x=1.5\)

\(2x:15=0,4:0,8\)

\(=2x:15=0,5\)

\(\Rightarrow2x=7,5:2\)

\(\Rightarrow x=3,75\)

Mk pt nhiu đóa à!

4.(3x-2)-10=4(x-2)
=>4.(3x-2)-10-4.(x-2)=0
=> 4.[ (3x-2)-(x-2)] -10=0
=> 4.2x-10=0
=>8x-10=0
=>8x=10
=>x= 5/4
 

=>2x:15=0,5

=>2x=7,5

=>x=3,75