Question

If four times a number, added to 3 is divided by the number plus 2, the result is seven halves. Find the number.

Answer 1

Answer:

X=-8

Step-by-step explanation:

A number x is multiplied by 4, added to 3, and then divided by x+2, leaving us with 7/2. Or, as an equation:

$\frac{4x + 3}{x + 2} = \frac{7}{2}$

Now, let's cross multiply:

$2(4x + 3) = 7(x + 2)$

$8x + 6 = 7x + 14$

And solve:

$x + 6 = 14$

$x = - 8$