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 \( x = \frac{-5}{14} \).