Question

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 ...?

Answer 1

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