I'm going to try and make this as simple as possible to explain.
-4(5 - 2x) = 8
First of all, we have to distribute the outside term (-4) throughout the inside terms on the parenthesis (5 - 2x). Basically what we're doing is multiplying -4 by each term.
-20 + 8x = 8
Why +8x? It's because a negative times a negative is a positive.
Now, since we want x all by itself, we have to move the constant, -20, to the other side by adding it on both sides.
8x = 28
In order to have x all by itself, you have to divide both sides by 8. Once you divide 28 by 8, you'll get the quotient and that, ultimately, will be x.
You are trying to get the x by its self so move the -4 to the other side so that you have 5-2x = 8/-4 then subtract 5 from both sides of the equation -2x = (8/-4) - 5 then once again divid so x = ((8/-4) - 5) / -2
M/IGJ will equal 52 degrees. Since EGF is 90 degrees then and EGD equals 38 degrees you need to subtract 38 from 90 and you are left with 52 degrees for angle FGD. The alternate interior angle to FGD is IGJ which would make the angles congruent.
