Answer:
X=8
Step-by-step explanation:
........... ....................... . . ........
Check the picture below.
so we really have 2 equal triangles with 3 rectangles, so let's get the area of each and sum them up.
![\stackrel{\textit{two equal triangles}}{2\left[ \cfrac{1}{2}(8)(6) \right]}~~+~~\stackrel{back}{(6\cdot 4)}~~ +~~\stackrel{bottom}{(8\cdot 4)}~~+~~\stackrel{top}{(10\cdot 4)}\implies 144](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7Btwo%20equal%20triangles%7D%7D%7B2%5Cleft%5B%20%5Ccfrac%7B1%7D%7B2%7D%288%29%286%29%20%5Cright%5D%7D~~%2B~~%5Cstackrel%7Bback%7D%7B%286%5Ccdot%204%29%7D~~%20%2B~~%5Cstackrel%7Bbottom%7D%7B%288%5Ccdot%204%29%7D~~%2B~~%5Cstackrel%7Btop%7D%7B%2810%5Ccdot%204%29%7D%5Cimplies%20144)
You are close, but it is not the correct answer.
1 + 2k = 5k + 7
First, since we are trying to get the variable by itself, we need to move all things to one side. Let's subtract 1 from each side.

Second, we can now subtract (7 - 1) to get 6. Let's add that into our problem and then subtract 5 from each side, still trying to get the variable by itself.

Third, subtract (2k - 5k) to get -3k. Hint the negative symbol now. If the problem were switched the other way, it would still be a positive.

Fourth, we can now divide each side by -3. This results in a fraction and also getting the variable by itself on one side of the problem. Remember the negative sign in front of the fraction since (-3) carried it.
Fifth, this is our last step. We need to simplify the fraction. Since out fraction is 6/3, which number multiples by 3 to get the answer of 6? The answer is 2, since (3 × 2 = 6). Don't forget the negative!

Answer:
Add 2 to 3 and get 5 add 3 and get 8 add 5 to get 13 add 8 to get 21