Answer: 
Step-by-step explanation:
We know the center of the original circle is (-6, -3). After reflecting this over the line x=2, the new center is now (10, -3).
Thus, the equation of the circle is
.
<span>1) 3x-2=x+10
</span><span>Now, lets solve this step-by-step.
</span><span>
3x - 2 = x + 10
-x -x
</span><span>
</span><span>3x - x = 2x 2x - 2 = 10
</span><span>
</span><span>2x - 2 = 10
</span>2x - 2+2 = 10+2 The inverse operation helps isolate the variable.
<span>
2x = 12
2x/2 = 12/2
x = 12/2
x = 6</span><span>
Answer: x = 6
2) x + 4 = 19 - 2x </span>
We can solve this much faster
x + 4 = 19 - 2x
+2x
x+2x = 3x
3x + 4 = 19
-4 -4
19-4 = 15
3x= 15
3x/3 = 15/3
x= 5
Answer: x = 5
3) <span>8x - 20 = x + 15
Much faster now!!
8x - 20 = x + 15
-x
8x-x = 7x
7x - 20 = 15
+20 +20
15+20 = 35
7x = 35
7x/7 = 35/7
x = 35/7
x = 5
Answer: x= 5</span>
2/3x-40=5/6(x+36)
multiply each side by 6 to get rid of the fraction
6* 2/3x- 6*40=6*5/6(x+36)
4x -240 = 5(x+36)
distribute
4x-240 = 5x +180
subtract 4x from each side
-240 = x +180
subtract 180 from each side
-420 =x
Yes, patrick's answer is reasonable because that is the difference of 4832 and 2232.
Hope this helped! :D