Question

What is the answer to 3/x=-3/3x+5

Answer 1

`-(5)/(4) =x`

Explanation:

We first need to bring x up into the numerator. I will find common denominators by multiplying both sides by each denominator.

`(x(3x+5))/(1) *(3)/(x) =(-3)/(3x+5)*(x(3x+5))/(1)`

This will eliminate both denominators and leave me with

`(3x+5)3=-3(x)\\9x+15=-3x` after I simplify the parenthesis.

Now I will solve the equation for x by subtracting 9x from both sides.

`9x-9x+15=-3x-9x\\15=-12x`

Then divide by the coefficient of x.

`(15)/(-12)=(-12x)/(-12)`

`-(5)/(4) =x`