Question

Solve for x: 1/x-2 + 1/x = 8/2x+5

Answer 1

Given:

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

To Find:

• The value of x.

Solution:

The given equation is $\frac{1}{(x-2)} = \frac{8}{(2x-5)}$  → (equation 1)

On cross-multiplying equation 1 we get,

⇒ 2x-5 = 8(x-2)

⇒ 2x-5 = 8x - 16 → (equation 2)

Rearranging equation 2 according to their like terms.

⇒ 2x-8x = -16+5

⇒ -4x = -11 ( cancelling the '-' sign on both sides)

⇒ 4x = 11

⇒ x = 11/4

∴ The value of x is 11/4