To solve the equation 5x - 6 = -4 + 5x, we can start by simplifying both sides.
5x - 6 = -4 + 5x
Now, we can move all the variables (5x) to one side of the equation and all the constants (-6 and -4) to the other side.
5x - 5x = -4 + 6
0 = 2
Since 0 does not equal 2, this equation is inconsistent and has no solutions.
Therefore, the equation has 0 solutions.
To determine the number of solutions by examining the sides of the equation, we can see that when all variables are moved to one side, the equation simplifies to a false statement (0 = 2). This indicates that the equation is inconsistent and has no solutions. Therefore, by examining the equation and seeing that it simplifies to a false statement, we can determine that the equation has 0 solutions.