Question

If twice a number, added to 3 is divided by the number plus 5, the result is three halves. Find the number.

Answer 1

Answer:2

Step-by-step explanation:

(2x+5)/3 = 3/2

Multiply both sides by 3:

2x + 5 = 9/2

Subtract 5 from both sides:

2x = 9/2 - 5 = 9/2 - 10/2 = 3/2

Divide both sides by :

x = 3/4

Answer 2

Answer:

-1/3

Step-by-step explanation:

A number x is multiplied by 2, then has 3 added to it, then is divided by x+5, and the answer is 3 halves.

Or, as an equation:

$\frac{2x + 3}{x + 5} = \frac{3}{2}$

Let's cross multiply:

$4(2x + 3) = 2(x + 5)$

Expand:

$8x + 12 = 2x + 10$

Now solve:

$6x + 12 = 10$

$6x = -2$

$x = \frac{-1}{3}$

So the answer is -1/3