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

1 Answer
Jul 9, 2016

Answer:

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#