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)

To solve the equation \( 2x - 5 = 3(4x + 5) \), follow these steps:

### Step 1: Expand the right side of the equation
Distribute \( 3 \) on the right-hand side:

\[
3(4x + 5) = 3 \cdot 4x + 3 \cdot 5 = 12x + 15
\]

So, the equation becomes:

\[
2x - 5 = 12x + 15
\]

### Step 2: Move the \( x \) terms to one side
To do this, we can subtract \( 2x \) from both sides of the equation:

\[
2x - 2x - 5 = 12x - 2x + 15
\]

This simplifies to:

\[
-5 = 10x + 15
\]

### Step 3: Move the constant terms to the opposite side
Next, subtract \( 15 \) from both sides:

\[
-5 - 15 = 10x + 15 - 15
\]

This simplifies to:

\[
-20 = 10x
\]

### Step 4: Solve for \( x \)
Now, we can divide both sides by \( 10 \):

\[
x = \frac{-20}{10}
\]

This simplifies to:

\[
x = -2
\]

### Step 5: Verify the solution
To ensure our solution is correct, substitute \( x = -2 \) back into the original equation:

Starting with the left side:

\[
2(-2) - 5 = -4 - 5 = -9
\]

Now let's evaluate the right side using \( x = -2 \):

\[
3(4(-2) + 5) = 3(-8 + 5) = 3(-3) = -9
\]

Both sides equal \(-9\), so the equation holds true.

### Final Answer:
The solution to the equation \( 2x - 5 = 3(4x + 5) \) is

\[
\boxed{-2}
\]