Question

How do you solve `7/x=8/(5x-6)`?

Answer 1

The answer to that problem is `14/9`

Explanation:

In the equation, you need to remove the denominator in both sides of the given equation. To do that, you need to multiply both sides by their corresponding denominator.

`(5x-6)(x)(7/x)=(5x-6)(x)(8/(5x-6))`

Simplify

`[[(5x-6)(x)(7)]/x]=[[(5x-6)(x)(8)]/(5x-6)]`

`7(5x-6)=8x`

`35x-42=8x`

`35x-42+42=8x+42`

`35x-8x=8x-8x+42`

`27x=42`

`(27x)/27=42/27`

`x=42/27`

Simplify the answer to the lowest term

`x=42/27-:3/3`

Since both of them has the factor of 3, we will divide both the numerator and the denominator by 3.

`x=14/9`