4(x - 5) = 3x + 7
4x - 20 = 3x + 7
x - 20 = 7
x = 27
Hence there is only one solution. These types of equations are called linear equations and linear equations have a degree of 1, which means they have only one solution.
To help answer your question, a quadratic equation (an equation of degree 2) has 2 solutions, 1 solution, or no solutions (imaginary solutions).
I hope this helps ya.