Question

find the linear equation
2(x-4)/3=3-2x+3/2​

Answer 1

Step-by-step explanation:

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

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

2x-16= 3-2x+12

2x+2x= 15+16

4x= 31

X = 31/4

Answer 2

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

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

$\sf \longmapsto \dfrac{2x - 8}{3} = \dfrac{6 - 4x + 3}{2}$

$\sf \longmapsto \dfrac{2x - 8}{3} = \dfrac{9 - 4x}{2}$

$\sf \longmapsto4x - 16 = 27 - 12x$

$\sf \longmapsto16x = 43$

$\sf \longmapsto \: x = \dfrac{43}{16}$

$\sf \bold{{ \red{x = \dfrac{43}{16} }}}$

Check

$\sf \longmapsto16x = 43$

$\sf \longmapsto16 \times \dfrac{43}{16} = 16$

If I solve through this :

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

$\sf \longmapsto \dfrac{2x - 8}{3} = \dfrac{6 - 2x}{2}$

$\sf \longmapsto4x - 16 = 18 - 6x$

$\sf \longmapsto10x = 34$

$\sf \longmapsto \: x = \dfrac{34}{10} = \dfrac{17}{5}$

$\sf \bold{ \red{x = \dfrac{17}{5} }}$

Check

$\sf \longmapsto10x = 34$

$\sf \longmapsto10 \times \dfrac{17}{5} = 17 \times 2 = 34$