Answer:
B. Exactly one solution
Explanation:
You can add (4x -8) to both sides:
5x +8 -7x +(4x -8) = -4x +1 +(4x -8)
Collect terms
2x = -7
x = -7/2 . . . . . divide by 2. One solution.
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As soon as you determine that the x-coefficients on the left and right are different, you know there is exactly one solution.
On the left, the coefficient of x is 5-7 = -2; on the right it is -4.