a: =>x=3/7+3/5=15/35+21/35=36/35

b: =>x/35=4/5-5/7=28/35-25/35=3/35

=>x=3

c: =>x<3/4+8/4=11/4

=>\(x\in\left\{0;1;2;3\right\}\)

d: =>5/3<x<5/6+24/6=29/6

=>\(x\in\left\{2;3;4\right\}\)

e: =>x<10/12-9/12=1/12

=>x=0

f: =>2/3<x<12/6-5/6=7/6

=>x=1

Phương pháp giải:

 - Muốn tìm số bị trừ ta lấy hiệu cộng với số trừ.

 - Muốn tìm số bị chia ta lấy thương nhân với số chia. 

Lời giải chi tiết:

a)

● x − 4 = 2

    x = 2 + 4

    x = 6

● x : 4 = 2

    x = 2 × 4

    x = 8

b)

● x − 5 = 4

    x = 4 + 5

    x = 9

● x : 5 = 4

    x = 4 × 5

    x = 20

c)

● x − 3 = 3

    x = 3 + 3

    x = 6

● x : 3 = 3

    x = 3 × 3

    x = 9

giúp mình nhé các bạn

5/4 nhan3/2=.....

X - 6/5 = 4

X = 4 + 6/5

X= 26/5

X x 4/5 = 23/20

X = 23/20 : 4/5

X = 23/16

`@` ` \text {Ans}`

`\downarrow`

`a,`

`1/4+3/4*x=3/2-x`

`=> 1/4 + 3/4x - 3/2 + x = 0`

`=> (1/4 - 3/2) + (3/4x + x) = 0`

`=> -5/4 + 7/4x = 0`

`=> 7/4x = 5/4`

`=> x = 5/4 \div 7/4`

`=> x = 5/7`

Vậy, `x=5/7`

`b,`

`3/5*x-1/4=1/10*x-1/2`

`=> 3/5x - 1/4 - 1/10x + 1/2 = 0`

`=> (3/5x - 1/10x) + (-1/4 + 1/2)=0`

`=> 1/2x + 1/4 = 0`

`=> 1/2x = -1/4`

`=> x = -1/4 \div 1/2`

`=> x = -1/2`

Vậy, `x=-1/2`

`c,`

`3x-3/5=x-1/4`

`=> 3x - 3/5 - x + 1/4 = 0`

`=> (3x - x) - (3/5 - 1/4) = 0`

`=> 2x - 7/20 = 0`

`=> 2x = 0,35`

`=> x = 0,35 \div 2`

`=> x = 7/40`

Vậy, `x=7/40`

`d,`

`3/2*x-2/5=1/3*x-1/4`

`=>  3/2x - 2/5 - 1/3x + 1/4 = 0`

`=> (3/2x - 1/3x) - (2/5 - 1/4) = 0`

`=> 7/6x - 3/20 = 0`

`=> 7/6x = 3/20`

`=> x = 3/20 \div 7/6`

`=> x = 9/70`

Vậy, `x=9/70`

`@` `\text {Kaizuu lv uuu}`

Lời giải:

$(x-5)(x+5)-(x+3)^2+3(x-2)^2=(x+1)^2-(x-4)(x+4)+3x^2$

$\Leftrightarrow x^2-25-(x^2+6x+9)+3(x^2-4x+4)=(x^2+2x+1)-(x^2-16)+3x^2$
$\Leftrightarrow 3x^2-18x-22=3x^2+2x+17$

$\Leftrightarrow -18x-22=2x+17$

$\Leftrightarrow 20x=-39$

$\Leftrightarrow x=\frac{-39}{20}$

\(\frac{x-2}{5}+\frac{x-3}{4}=\frac{x-4}{3}+\frac{x-5}{2}\)

=> \(\frac{x-2}{5}-1+\frac{x-3}{4}-1=\frac{x-4}{3}-1+\frac{x-5}{2}-1\)

=> \(\frac{x-7}{5}+\frac{x-7}{4}=\frac{x-7}{3}+\frac{x-7}{2}\)

=> \(\frac{x-7}{5}+\frac{x-7}{4}-\frac{x-7}{3}-\frac{x-7}{2}=0\)

=> \(\left(x-7\right).\left(\frac{1}{5}+\frac{1}{4}-\frac{1}{3}-\frac{1}{2}\right)=0\)

=> x-7 = 0

=> x= 7

a )  x + 5/12 = -2/3

=>  x = -2/3 - 5/12

=>  x = -8/12 - 5/12

=>  x = -13/12 

b ) 4/5 + 3/4 : x = 1/2

=>         3/4 : x  = 1/2 - 4/5

=>         3/4 : x  =   5/10 - 8/10

=>         3/4 : x  =     -3/10

=>                x   =     3/4 : -3/10

=>                x   =      -5/2 

c ) x/2 + x/3 = 1/4

=>   3x/6 + 2x/6   = 1/4

=>   ( 3x + 2x )/6  = 1/4

=>         5x/6        = 1/4

=>         20x/24     = 6/24

=>           20x        = 6

=>               x        = 6 : 20

=>               x        = 0 , 3

Chúc bạn học giỏi !!!