Question

Consider the example: Now, match the order of steps to solve the given equation. 10x−18=−2 (3 points) Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. Step 1 Step 2 Step 3

Answer 1

To solve the equation \(10x - 18 = -2\), the steps in order would be:

Step 1: Add 18 to both sides of the equation.
This simplifies the equation.
\(10x - 18 + 18 = -2 + 18\)
Resulting in:
\(10x = 16\)

Step 2: Divide both sides by 10.
This isolates \(x\).
\(x = \frac{16}{10}\)
Resulting in:
\(x = \frac{8}{5}\) or \(x = 1.6\)

Step 3: (Optional) Verify your solution by substituting \(x\) back into the original equation to check if both sides are equal.
Substitute \(x = 1.6\) back into the equation:
\(10(1.6) - 18 = -2\)
\(16 - 18 = -2\)
This confirms that the solution is correct.

So to finalize the order:

• Step 1: Add 18 to both sides.
• Step 2: Divide by 10.
• Step 3: Verify the solution.