Question

No links and just the answer and explanation

Answer 1

x = 1, x = 6

Explanation:

Given equation:

`(x+2)/(x-4)=(2x)/(x-3)`

Cross multiply:

`\implies (x+2)(x-3)=2x(x-4)`

Expand brackets:

`\implies x^2-3x+2x-6=2x^2-8x`

`\implies x^2-x-6=2x^2-8x`

Collect and combine like terms:

`\implies 2x^2-x^2-8x+x+6=0`

`\implies x^2-7x+6=0`

Factor:

`\implies (x-6)(x-1)=0`

Therefore,

`(x-6)=0\implies x=6`

`(x-1)=0 \implies x=1`