Question

Use the following steps as a guide to solving the equation right out all your work for 2x-5=3 (4x+5)
Step one distributing property step two move variables to one side of the equation addition/subtraction property of qualities step three move constant to the other side of the equation addition/subtraction property of any qualities isolate your variable creation/division of properties

Answer 1

Let's solve the equation \(2x - 5 = 3(4x + 5)\) step by step according to your instructions.

### Step 1: Distributing Property
We'll start by distributing \(3\) on the right side of the equation:

\[
2x - 5 = 3(4x) + 3(5)
\]
\[
2x - 5 = 12x + 15
\]

### Step 2: Move Variables to One Side of the Equation
Next, we want to move all the \(x\) terms to one side. We'll choose to subtract \(12x\) from both sides:

\[
2x - 5 - 12x = 12x + 15 - 12x
\]
\[
2x - 12x - 5 = 15
\]
\[
-10x - 5 = 15
\]

### Step 3: Move Constants to the Other Side of the Equation
Now, we will add \(5\) to both sides to isolate the term with \(x\):

\[
-10x - 5 + 5 = 15 + 5
\]
\[
-10x = 20
\]

### Step 4: Isolate Your Variable (Creation/Division of Properties)
Finally, we will divide both sides by \(-10\) to solve for \(x\):

\[
x = \frac{20}{-10}
\]
\[
x = -2
\]

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

\[
\boxed{-2}
\]

If you have any further questions or need additional explanations, feel free to ask!