How many solutions does the following equation have?

5x+8-7x=-4x+15x+8-7x=-4x+1

This has one solution

Step-by-step explanation:

5x+8-7x=-4x+1

Combine like terms

-2x+8 = - 4x+1

Add 4x to each side

-2x+4x+8 = - 4x+4x+1

2x+8 = 1

Subtract 8 from each side

2x+8-8=1-8

2x = - 7

Divide by 2

2x/2 = - 7/2

x = - 7/2