To solve the equation \( 18 - 16x = 30x - 10 \), follow these steps:
Combine like terms: Start by moving all terms involving \( x \) to one side and constant terms to the other side.
Add \( 16x \) to both sides:
\[ 18 = 30x + 16x - 10 \]
This simplifies to:
\[ 18 = 46x - 10 \]
Add 10 to both sides:
\[ 18 + 10 = 46x \]
This simplifies to:
\[ 28 = 46x \]
Divide both sides by 46:
\[ x = \frac{28}{46} \]
This can be simplified by dividing both the numerator and the denominator by 2:
\[ x = \frac{14}{23} \]
So, the solution to the equation is:
\[ x = \frac{14}{23} \]