Solving 4x + 5 = 4x - 3 removes the variable and leaves 5 equals -3. What is this equation?

1. Subtracting 4x from both sides wipes out the variable. 2. What remains, 5 equals negative 3, is false whatever number was used. 3. An equation false for every value of the variable is a contradiction. 4. It has no solution at all, which is the opposite of an identity. _Source: OpenStax Intermediate Algebra (CC BY 4.0), Ch 2 "Solving Linear Equations", section 2.1 Use a General Strategy to Solve Linear Equations_