Question

Efetuem essa equação

(x - 5)/10 + (1 - 2x)/5 = (3-x)/4

Answer 1

Denominador comum
(x - 5)/10 + (1 - 2x)/5 = (3-x)/4
x-5+2-4x/10 - 3-x/4
-3x-3/10= 3-x/4 ( multiplicando Cruzado)
4(-3x-3) = 10(3-x)
-12x - 12 = 30 - 10x
-12x + 10x = 30 + 12 
-2x = 42
x= - 42/2
x= - 21

Answer 2

$\frac{x - 5}{10} + \frac{1-2x}{5} = \frac{3-x}{4} \\ \\ m.m.c. (10, 5) = 20 \\ \\ \frac{2x - 10 + 4 - 8x}{20} = \frac{3-x}{4} \\ (2x - 10 + 4 - 8x)4 = (3-x)20 \\ 8x - 40 + 16 - 32x = 60 - 20x \\ 8x - 32x + 20x = 60 + 40 - 16 \\ -4x = 84 \\ x = 84 \div -4 \\ x = -21$