Solve the equation 5 over 4 minus 1 over x minus 2 equals - 4 over 4x minus. use complete sentences to explain how you solved the equation ... ?

Let's translate your words into numbers and fractions. So it's

5/4 - 1/x - 2 = - 4/-4.

Let's Simplify it first by eliminating - 4/-4, the answer will be 1 since negative divided by negative is positive and 4 divided by 4 is 1.

5/4 - 1/x - 2 = 1

Then Get the GCF of the equation which is 4x.

Then divide the whole equation by 4x and it would be,

5/4 - 1/x - 2 = 1

4x

Then it will look like this, 5x-8x-4 = 4x

Then transpose, 5x - 8x - 4x = 4

Simplify by deducting the left side. - 7x = 4

Then divide both sides by - 7.

Then the final answer would be x = - 4/7