Question

Match the order of steps to solve the equation.

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).