To solve the equation \( 2d + 3 = 7d + 18 \), follow these steps:
- Start by isolating the variable \(d\). First, we can move all terms involving \(d\) to one side and constant terms to the other side.
Subtract \(2d\) from both sides:
\[ 3 = 7d - 2d + 18 \]
This simplifies to:
\[ 3 = 5d + 18 \]
- Next, subtract \(18\) from both sides:
\[ 3 - 18 = 5d \]
This gives:
\[ -15 = 5d \]
- Now, divide both sides by \(5\):
\[ d = \frac{-15}{5} \]
This simplifies to:
\[ d = -3 \]
Thus, the solution is:
\[ d = -3 \]