Answer:
No solutions: 5 - 4 + 7x + 1 = 7x + 1
One solution: 5 - 4 + 7x + 1 = 2x + 1
Infinitely many solutions: 5 - 4 + 7x + 1 = 7x + 2
Explanation:
left side: 5 - 4 + 7x + 1 = 1 + 7x + 1 = 7x + 2
No solution is when we have the same number of x-es and different sums of other numbers on both sides of equation. So we have to put 7 next to x and any numer except 2 at the second place.
So the right side could be 7x+1 or 7x+3 or 7x+125 and so on.
One solution is when we have different number of x-es on both sides of equation. The sums of other numbers could be any numbers.
So the right side could be ex.: 2x+1, x+2, 8x, 3x+(-18), and so on.
Infinitely many solutions is when we have the same number of x-es and the same sums of other numbers on both sides of equation. So we have to put 7 next to x and numer 2 at the second place.
So the right side has to be 7x + 2