Match the order of steps to solve the equation.

Question

10x−18=−2

(1 point)

Step 1

Step 2

Step 3

Answer 1

To solve the equation \(10x - 18 = -2\), you can follow these steps:

Step 1: Add 18 to both sides of the equation to isolate the term with \(x\). \[ 10x - 18 + 18 = -2 + 18 \] This simplifies to: \[ 10x = 16 \]

Step 2: Divide both sides by 10 to solve for \(x\). \[ \frac{10x}{10} = \frac{16}{10} \] This simplifies to: \[ x = \frac{8}{5} \quad \text{or} \quad 1.6 \]

Step 3: (Optional/Final Step): Check the solution by substituting \(x = \frac{8}{5}\) back into the original equation. \[ 10\left(\frac{8}{5}\right) - 18 = -2 \] Calculating: \[ 16 - 18 = -2 \] Which confirms our solution.

So the order of steps to solve the equation is:

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

If you need them labeled, it could look like this:

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