Chapter 2 - Solving Equations - 2-4 Solving Equations With Variables on Both Sides - Practice and Problem-Solving Exercises - Page 108: 54

$2x-3=5x$

$2x-3=5x$ Add 3 to both sides: $2x-3+3=5x+3$ Simplify: $2x=5x+3$ Subtract 5x from both sides: $2x-5x=5x+3-5x$ Simplify: $-3x=3$ Dvide both sides by -3: $\frac{-3x}{-3}=\frac{3}{-3}$ Simplify: $x=-1$ Here, we get a negative number for our solution as required.