Question

How do you solve 3x-2 divided by 8=x/4-1 ?

the answer is x= -6

but how do you solve it?

Answer 1

(3x - 2) / (8) = (x/4) - 1

Multiply each side by 8 :

3x - 2 = 2x - 8

Add 2 to each side:

3x = 2x - 6

Subtract 2x from each side:

x = -6 .

Answer 2

`(3x-2)/(8)= (x)/(4-1)`


`(3x-2)/(8)= (x)/(3)`

Cross, Multiply :


`3(3x-2) = 8x`


`9x-6 = 8x`


`9x - 8x - 6 = 0`


`9x - 8x = 6`


`\boxed{x = 6}`



Note :
Remember this cross multiply formula :

`(a)/(b) = (c)/(d) \,\,\,\,\,\,\,\,\, \to \,\,\,\,\,\,\,\,\,(a * d) = (b * c)`