Use the following step as a guide to solve the following equation. Write out your work for all steps to solve the equation. 2x - 5 = 3(4x + 5)

Let's solve the equation \(2x - 5 = 3(4x + 5)\) by following the steps you provided.

### Step 1: Distributive Property
First, we apply the distributive property on the right-hand side of the equation:
\[
3(4x + 5) = 3 \cdot 4x + 3 \cdot 5 = 12x + 15
\]
So the equation becomes:
\[
2x - 5 = 12x + 15
\]

### Step 2: Move variables to one side of the equation
Next, we want to move all the variable terms to one side of the equation. We’ll subtract \(12x\) from both sides:
\[
2x - 12x - 5 = 12x - 12x + 15
\]
This simplifies to:
\[
-10x - 5 = 15
\]

### Step 3: Move constant to the other side of the equation
Now, we add \(5\) to both sides to isolate the variable term:
\[
-10x - 5 + 5 = 15 + 5
\]
This simplifies to:
\[
-10x = 20
\]

### Step 4: Isolate your variable
Finally, we want to isolate \(x\). We do this by dividing both sides by \(-10\):
\[
\frac{-10x}{-10} = \frac{20}{-10}
\]
This simplifies to:
\[
x = -2
\]

Thus, the solution to the equation \(2x - 5 = 3(4x + 5)\) is:
\[
\boxed{-2}
\]