Question

5x/8 + 3 = 1/2 x + 4​

Answer 1

Answer:

x= -2/5

x= 2

Step-by-step explanation:

5x/8 + 3 = 1/2 x + 4

(5x+24)/8 = (1+8x)/2x

(5x+24)×2x = (1+8x)×8

10x^2 +48x = 8+ 64x

10x^2 +48x-64x-8 = 0

(10x^2 -16x -8 = 0)/2

5x^2 -8x -4= 0

5x^2 -10x+2x-4 =0

5x(x-2) +2 (x-2)=0

(5x+2)(x-2)= 0

(5x+2)(x-2)= 0x= -2/5

(5x+2)(x-2)= 0x= -2/5x= 2

Answer 2

Answer:

x=8.

Step-by-step explanation:

$\frac{5x}{8} + 3 = \frac{1x}{2} + 4$

On Transposition, we have

$\frac{5x}{8} - \frac{1x}{2} = 4 - 3$

$\frac{5x}{8} - \frac{1x}{2} = 1$

Taking LCM as 8, we have

$5x - 4x = 8$

$x = 8$

So, x=8.

Hope you get this!!