Question

10x−18=−2

(3 points)

Step 1

Step 2

Step 3

Answer 1

To solve the equation \(10x - 18 = -2\), we'll follow a step-by-step approach:

### 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
Next, divide both sides of the equation by 10 to solve for \(x\):
\[
\frac{10x}{10} = \frac{16}{10}
\]
This simplifies to:
\[
x = \frac{16}{10}
\]
Which can be further simplified to:
\[
x = \frac{8}{5} \quad \text{or} \quad x = 1.6
\]

### Step 3
To verify the solution, substitute \(x = 1.6\) back into the original equation:
\[
10(1.6) - 18 = -2
\]
Calculating the left side:
\[
16 - 18 = -2
\]
Since both sides are equal, our solution is confirmed.

Thus, the final answer is:
\[
x = \frac{8}{5} \quad \text{or} \quad x = 1.6
\]