What is the value of x if 2x + 5 = 3x - 1?

To solve the equation (2x + 5 = 3x - 1), the goal is to isolate (x).

Start by moving (2x) from the left side of the equation to the right side. This can be done by subtracting (2x) from both sides:

[ 5 = 3x - 2x - 1 ]

Now, simplify the right side:

[ 5 = x - 1 ]

Next, to isolate (x), add 1 to both sides:

[ 5 + 1 = x ]

This simplifies to:

[ x = 6 ]

Thus, the value of (x) is 6, which corresponds to the choice listed. This shows the process of solving a linear equation step-by-step, focusing on maintaining equality and performing operations on both sides of the equation. Each step leads logically to the conclusion that (x) equals 6.