Answer:
1: x = -1
2: x = 1
3: x = -2
4: x = -207/25
(Double check if the question you posted was correct, if it was, then this is the answer you should get) ( maybe it was -25 instead of -257, check just in case, in that case, the answer should be x = 1)
5: x = 5
Explanation:
1: 6x + 6 = 0
dividing both sides by 6, we get,
x + 1 = 0
x = -1
2:-3x+9=6
Dividing both sides by 3, we get,
-x + 3 = 2
3 - 2 = +x
(we have added +x to both sides so on left side -x+x =0 and so on with -2 as well)
1 = x
x = 1
3:5x+4=-6
Subtracting 4 from both sides,
5x + 4 - 4 = -6 - 4
5x = -10
dividing both sides by 5,
x = -10/5
x = -2
4:-257=25x-50
Adding 50 to both sides,
-257 + 50 = 25x -50 + 50
-207 = 25x
dividing both sides by 25, we get,
-207/25 = (25x/25)
-207/25 = x
x = -207/25
5:90=20x-10
Dividing both sides by 10,
90/10 = (20x - 10)/10
9 = 20x/10 - 10/10
9 = 2x - 1
adding 1 on both sides,
10 = 2x
dividing by 2 on both sides,
10/2 = x
x = 5