Question

x+3/7-2x-5/3=3x-5/5-25​

Answer 1

Given x+3/7-2x-5/3=3x-5/5-25​

put all like terms together --

x - 2x + 3/7 - 5/3 = 3x - 5/5 -25

as there are fractions we would make it's denominators same to solve the equation

3/7 - 5/3 = LCM of denominators = 21

so ,

3/7 * 3/3 = 9/21   AND    5/3 * 7/7 = 35/21

so we get our equation like this --

-x + 9/21 - 35/21 = 3x - 5/5 -25

-x + -26/21 = 3x - 5/5 - 25

Now bringing like terms together that is --

-x - 3x = - 5/5 - 26/21 - 25

NOTE :  -5/5 =  -1

-x - 3x = - 1 - 26/21 - 25

-4x = -25 - 1 - 26/21

4x = -26 - 26/21

lowest  form of - 26/21 = -2/3

4x = -26 - 2/3

solving the fraction --

-26/1 - 2/3

LCM = 3

-26/1 * 3/3 = -78/3  

-78/3  - 2/3

-80/3

= 4x = -80/3

= x =  -80/3 + 4

= x = -80/3 + 12/3

= x = -68/3