Question

solve for x 4x-4/2x+4=3/2​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto \dfrac{4x - 4}{2x + 4} = \dfrac{3}{2}$

Now,cross multiply to both sides :

$\sf \longmapsto2(4x - 4) = 3(2x + 4)$

$\sf \longmapsto8x - 8 = 6x + 12$

Now, rearranging the terms and making like terms together:

=>Moving 6x towards left side and -8 towards right side note sign will change.

$\sf \longmapsto8x - 6x = 12 + 8$

$\sf \longmapsto2x = 20$

$\sf \longmapsto \: x = \dfrac{20}{2} = 10$

$\sf \bold{x = 10}$

Check:

$\sf \longmapsto \dfrac{4x - 4}{2x + 4} = \dfrac{3}{2}$

$\sf \longmapsto \dfrac{4 \times 10 - 4}{2 \times 10 + 4}$

$\sf \longmapsto \dfrac{40 - 4}{20 + 4}$

$\sf \longmapsto \dfrac{ \cancel{{36}}}{ \cancel{24}} = \dfrac{ \cancel{{9}}}{ \cancel{{6}}} = \dfrac{3}{2}$