How do you solve 14/(3x) = 6/(2x-5)?

1 Answer
Apr 2, 2015

The answer is: x=7

First of all, x !in {0, 5/2}

Because those values will lead a "division by zero" error, which is a great sin in maths.

Now, we can get to work.

3x * (14/(3x)) = 3x * (6/(2x-5))

14 = (18x)/(2x -5)

(2x-5) * 14 =(2x-5) * (18x)/(2x-5)

28x - 70 = 18x
10x = 70
x=7

x is not 0 or 5/2 so this is a valid value.

The result is: x=7