Answer: x = - 8
Step-by-step explanation:
[tex]\frac{x}{7+x}[/tex] = 8
cross multiplying , we have
8 ( 7 + x) = x
Expanding the Left Hand Side of the equation , we have :
56 + 8x = x collecting the like terms , we have
56 = x - 8x
56 = -7x
dividing through by - 7 we have :
- 8 = x
Therefore :
x = -8