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

1 Answer
V
Jul 9, 2016

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

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