how many solutions does 3x+18=5x+8

To determine how many solutions the equation \(3x + 18 = 5x + 8\) has, we can solve for \(x\).

1. Start with the original equation: \[ 3x + 18 = 5x + 8 \]

2. Subtract \(3x\) from both sides: \[ 18 = 5x - 3x + 8 \] \[ 18 = 2x + 8 \]

3. Next, subtract \(8\) from both sides: \[ 18 - 8 = 2x \] \[ 10 = 2x \]

4. Now, divide both sides by \(2\): \[ x = \frac{10}{2} = 5 \]

The equation has one solution, which is \(x = 5\).

Thus, the equation \(3x + 18 = 5x + 8\) has one solution.