Work Step by Step
We are given that $2x-5\gt4x+3$. In order to solve for x, we must first subtract 2x from both sides. $-5\gt2x+3$ Subtract 3 from both sides. $-8\gt2x$ Divide both sides by 2. $x\lt-4$ Therefore, the solution set consists of all values of x that are less than -4.