Question

Resolva a equação

A) x+5/2=8+2x/5

B)4.(x+1)/3-3.(x-1)=1/2

C)X/2+1/3=4

Answer 1

A )  x + 5/2 = 8 +2x/5

MMC → {2,5} = 10

(x + 5)/2 = (8 + 2x)/5

5*(x + 5) = 2*(8 + 2x)

5x + 25 = 16 + 4x

5x - 4x = 16 - 25

x = -9

B ) 4.(x+1)/3 - 3.(x-1) = 1/2

MMC → {3,2} = 6

$4\frac{(x+1)}{3} -3\frac{(x-1)}{1} = \frac{1}{2} \\ \\ \frac{4x+4}{3} - \frac{3x-3}{1} = \frac{1}{2} \\ \\ \frac{8x + 8 - 18x + 18 = 3}{6}$

Descarta o 6 e fica só a equação

8x + 8 - 18x + 18 = 3

8x - 18x = 3 - 18 - 8

-10x = 3 - 26

-10x = -23

x = -23/10

C ) x/2 + 1/3 = 4

MMC → {3,2} = 6

$\frac{x}{2} + \frac{1}{3} = \frac{4}{1} \\ \\ \frac{3x + 2 = 24}{6}$

Descarta o 6 e fica só a equação

3x + 2 = 24

3x = 24 - 2

x = 22/3

Answer 2

Vamos lá

a)

(x + 5)/2 = (8 + 2x)/5

5*(x + 5) = 2*(8 + 2x)

5x + 25 = 16 + 4x

5x - 4x = 16 - 25

x = -9

b)

4*(x + 1)/3 - 3*(x - 1) = 1/2

mmc = 6

8x + 8 - 18x + 18 = 3

10x = 23,  x = 23/10

c)

x/2 + 1/3 = 4

mmc = 6

3x + 2 = 24

3x = 22, x = 22/3