Respuesta :

Answer:

x = 2

Step-by-step explanation:

given the equation

[tex]\frac{2x}{3}[/tex] - [tex]\frac{3x}{8}[/tex] = [tex]\frac{7}{12}[/tex]

multiply through by 24 ( the LCM of 3,8 and 12 ) to clear the fractions

24 × [tex]\frac{2x}{3}[/tex] - 24 × [tex]\frac{3x}{8}[/tex] = 24 × [tex]\frac{7}{12}[/tex] ( simplify each term )

16x - 9x = 14

7x = 14 ( divide both sides by 7 )

x = 2

Answer:

x = 7.

Step-by-step explanation:

2x/3 - 3x/8 = 7/12

First eliminate the fractions by multiplying each term by the LCM of

3, 8 and 12 which is  24

24*2x/3 - 24*3x/8 = 24*7/12

---> 48x/3 - 72x/8 = 168/12

--> 16x - 9x = 14

--> 7x = 14

--> x = 14/2

x = 7.