Resposta:

Olá boa tarde!

1)

2x + 1/5 - x/10 = 1/2 + 8/5

O MMC entre 2, 5 e 10 é 10.

Multiplicando todos os termos por 10:

20x + 10/5 - 10x/10 = 10/2 + 10(8)/5

20x + 2 - x = 5 + 2(8)

20x - x = 16 + 5  - 2

19x = 21 - 2

19x = 19

x = 19/19

x = 1

2)

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

MMC (4,2,3) = 12

12(x + 4)/4 + 12x/2 = 12(x - 5)/3

3(x + 4) + 6x = 4(x - 5)

3x + 12 + 6x = 4x - 20

3x + 6x - 4x = -20 - 12

9x - 4x = -32

5x = -32

x = -32/5

3)

MMC(12,8,24) = 24

24(3x-7)/12 + 24(x-1)/8 = 24(2x-3)/24

2(3x-7) + 3(x-1) = 2x-3

6x - 14 + 3x - 3 = 2x - 3

6x + 3x - 2x = 14 + 3 - 3

9x - 2x = 14

7x = 14

x = 14/7

x = 2

4)

MMC(3,4,5) = 60

60:4 = 15

60:5 = 12

60:3 = 20

15(2x + 1) - 12(x - 3) = 20x

30x + 15 - 12x + 3 = 20x

30x - 20x -12x = 15 + 3

10x - 12x = 18

-2x = 18

2x = -18

x = -18/2

x = -9