Question

Solve the following equation

Answer 1

Answer:
`(- 1)/(11)`

Explanation:

Note: the "." symbol stands for multiplication

Given,

`(2x+4)/(3) \\` -
`(5x-7)/(2)` = 5

First we the LCM = 6,

`(2(2x+4))/(2.3)` -
`(3(5x-7))/(3.2)`= 5

Then, we join both sides, since they have same denominator

`(2(2x+4) - 3(5x-7))/(6)` = 5

Multiply again

`(4x+8 - 15x+21)/(6)` = 5

Add the same numbers

`(-11x + 29)/(6)` = 5

Transpose 6 to the other side

-11x + 29 = 5.6

-11x + 29 = 30

Transpose 29 to the other side

-11x = 30 -29

-11x = 1

Transpose 11 to the other side to get answer

x =
`(-1)/(11)`

Hope it helps! If you have any doubts, feel free to ask