Question

The solution set of 2-3x/4-8=3x/4​

Answer 1

x=-1

Explanation:

2-3x/4-8=3x/4

bring all variables to one sides and the non variable to the other

-3x/4-3x/4=-2+8

Simplify

-3x/2=6

Bring 2 to the other side

-3x= 6/2

-3x=3

Bring -3 to the other side

x=3/-3

x=-1

Answer 2

Explanation:

`\\ \tt{:}\leadsto (2 - 3x)/(4 - 8) = (3x)/(4) \\ \\ \tt{:}\leadsto 4(2 - 3x) = 3x(4 - 8) \\ \\ \tt{:}\leadsto 8 - 12x = 3x( - 4) \\ \\ \tt{:}\leadsto 8 - 2x = - 12x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \tt{:}\leadsto 8 = - 12x + 2x \\ \\ \tt{:}\leadsto 8 = - 10x \\ \\ \tt{:}\leadsto x = ( - 10)/(8) \\ \\ \tt{:}\leadsto x = ( - 5)/(4)`