Question

What are the steps to solve `(5x)/2 = (4x)/3 - 7/7`? (All of them are fractions)

I forgot the steps to solve it, could someone do it step by step so I can remember?

Answer 1

`x = -6/7`

Explanation:

The first thing to notice is that it is an EQUATION with fractions.

This means that we can get rid of the fractions by multiplying each term by the LCM of the denominators to cancel them.

`7/7 = 1`

`LCD =color(blue)(6)`

`(color(blue)(6xx)5x)/2 = (color(blue)(6xx)4x)/3 - (color(blue)(6xx)cancel7^1)/cancel7^1`

`(color(blue)(cancel6^3xx)5x)/cancel2 = (color(blue)(cancel6^2xx)4x)/cancel3 - (color(blue)(6xx)1)/1`

`15x =8x -6`

`15x -8x = -6`

`7x = -6`

`x = -6/7`