Answer:
x = 9
Step-by-step explanation:
Since line EC is half of line AC, we know that EC + EC = AC, since two halves of something make it a whole.
So do the equation EC + EC = AC
2x + 11 + 2x + 11 = 8x - 14
Combine like terms.
4x + 22 = 8x - 14
Bring the -14 over to the other side of the equal (=) by adding -14 to 22 to get 8x alone.
4x + 36 = 8x
Bring the 4x over to the right side of the equal sign by subtracting 4x from 8x in order to get 36 alone and x value alone.
36 = 4x
Now divide both sides by 4x to get x entirely alone.
36/4 = 9
4x/4 = x
9 = x
Flip (if you want, I just prefer to).
x = 9
Done :)
