18х+9=32х+14

To solve this equation, we need to isolate the variable \( x \) on one side of the equation.

First, we can simplify the equation by combining like terms:

\[ 18x + 9 = 32x + 14 \]

Now, let's move all terms with \( x \) to one side by subtracting \( 18x \) from both sides:

\[ 9 = 14x + 14 \]

Next, we can move the constant term to the other side by subtracting 14 from both sides:

\[ 9 - 14 = 14x \]

\[ -5 = 14x \]

Finally, we solve for \( x \) by dividing both sides by 14:

\[ x = \frac{-5}{14} \]

Therefore, the solution to the equation is \( x = \frac{-5}{14} \).