To solve the equation 3x + 1 = 2x - 4, subtract 2x from both sides and simplify the equation. Subtract 1 from both sides, resulting in x = -5. Mark -5 on the number line to represent the solution.
To solve the equation 3x + 1 = 2x - 4, we need to isolate the variable x. We can do this by moving all the x terms to one side of the equation and all the constant terms to the other side.
First, we subtract 2x from both sides: 3x - 2x + 1 = 2x - 2x - 4.
Simplifying the equation gives us: x + 1 = -4. Next, we can subtract 1 from both sides: x + 1 - 1 = -4 - 1. This simplifies to x = -5.
To represent the solution on the number line, we mark a point at -5.
Learn more about Solving linear equations