Question

8(3x+2)-5(2x-1)=5(10-x)+2

Answer 1

Hola!

8(3x+2)-5(2x-1)=5(10-x)+2
24x+16-10x+5=50-5x+2
24x-10x+5x=50+2-16-5
19x=31.

x=31/19.

Saludos! ^^

Answer 2

Hola
Para x:
8 (3 x + 2) - 5 (2 x - 1) = 2 + 5 (10 - x)
-5 (2 x - 1) = 5 - 10 x:
5 - 10 x + 8 (3 x + 2) = 2 + 5 (10 - x)
8 (3 x + 2) = 24 x + 16:
24 x + 16 - 10 x + 5 = 2 + 5 (10 - x)
Agrupando términos 
24 x - 10 x + 5 + 16 = (-10 x + 24 x) + (5 + 16):
(-10 x + 24 x) + (5 + 16) = 2 + 5 (10 - x)
24 x - 10 x = 14 x:
14 x + (5 + 16) = 2 + 5 (10 - x)
5 + 16 = 21:
14 x + 21 = 2 + 5 (10 - x)
5 (10 - x) = 50 - 5 x:
14 x + 21 = 50 - 5 x + 2
Añadir Cómo términos.
2 + 50  =  52:
14 x + 21 = 52 - 5 x
Añadir 5 x a ambos  lados:
14 x + 5 x + 21 = (5 x - 5 x) + 52
5 x - 5 x = 0:
14 x + 5 x + 21 = 52
14 x + 5 x = 19 x:
19 x + 21 = 19x
Resta 21 de ambos lados
19 x + (21 - 21) = 52 - 21
21 - 21 = 0:
19 x = 52 - 21
52 - 21 = 31:
19 x = 31
Divide ambos lados de
19 x= 31 por 19:
(19 x)/19 = 31/19
19/19 = 1:
Respuesta :
 x = 31/19