How many solutions does this equation have-2c=-10c+8c

There are three possible answers.

One solution

No solution

Many solutions

This has many solutions because if you add the like terms - 10c and 8c, you'd get - 2c. This makes the equation: - 2c = - 2c. c could equal anything and the equation would still be true because no matter what c is equal to, it's going to be multiplied by the same number. For example, if c=2 the equation would be - 4 = - 4. This is true. Also, if c = - 3 the equation would be 6 = 6 which is also true.

This equation is only going to have no solutions because if you combine like terms (the - 10c+8c) then you get - 2c=-2c and then you add 2c to both sides then you end up with no solution I believe