Question

. Solve the rational equation x+6 / 3 − x+8 / 5 = 0.

Answer 1

Answer:

x= -3

Step-by-step explanation:

$\frac{x + 6}{3} - \frac{x + 8}{5} = 0$

Multiply both sides by 15 (LCM of 3 and 5):

$\frac{15(x + 6)}{3} - \frac{15(x + 8)}{5} = 0$

5(x +6) -3(x +8)= 0

Expand:

5x +30 -3x -24= 0

2x +6= 0

-6 on both sides:

2x= -6

x= -6 ÷2

x= -3