Answer: x = 11
1. We add all those angles, and we’ll get 180 (because this is sum of angles in triangle):
61 + 43 + 6x + 10 = 180
2. We simplify:
(61 + 43 + 10) + 6x = 180
114 + 6x = 180
3. We move the digit to right side, without forgetting to change the sign (to separate x, and then its easier to solve), or it is easier to say, that we just subtract 114 by both sides:
114 + 6x = 180 |-114
114 - 114 + 6x = 180 - 114
6x = 66
Lastly, we just divide by 6, to get x:
6x = 66 |:6
x = 11
So x is equal to 11. Proof:
61 + 43 + 6 * x + 10 = 180
61 + 43 + 6 * 11 + 10 = 180
61 + 43 + 66 + 10 = 180
127 + 53 = 180
180 = 180
And if both sides are the same, the answer is correct. Hope this helps!