Question

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

Answer 1

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**.