To determine how many solutions the equation $2x + 3 = 4x + 2$ has, let's solve it step-by-step.

Starting with the given equation: $2x + 3 = 4x + 2$

1. Subtract $2x$ from both sides: $3 = 2x + 2$

2. Subtract 2 from both sides: $1 = 2x$

3. Divide both sides by 2: $x = \frac{1}{2}$

Since we have found a single value for $x$ that satisfies the equation, the equation has exactly 1 solution.

The correct answer is:

• 1 solution

Would you like more details or have any questions about this solution?

Here are 5 related questions to expand your understanding:

1. How do you determine if a linear equation has no solutions?
2. What does it mean for an equation to have many solutions?
3. Can you provide an example of a linear equation with no solutions?
4. Can you provide an example of a linear equation with infinitely many solutions?
5. How does the graph of a linear equation with one solution differ from that of an equation with no solutions or infinitely many solutions?

Tip: When solving linear equations, isolating the variable on one side of the equation is a key step to finding the solution.