Question
Match the order of steps to solve the equation.
10x-18=-2
10x-18=-2
Answers
GPT-4o mini
To solve the equation \(10x - 18 = -2\), follow these steps in order:
1. **Add 18 to both sides**: This isolates the term with \(x\).
\[
10x - 18 + 18 = -2 + 18 \implies 10x = 16
\]
2. **Divide both sides by 10**: This solves for \(x\).
\[
\frac{10x}{10} = \frac{16}{10} \implies x = \frac{16}{10}
\]
3. **Simplify the fraction**: This provides the final answer.
\[
x = \frac{8}{5} \text{ or } x = 1.6
\]
Putting it all together, here are the steps:
1. Add 18 to both sides.
2. Divide both sides by 10.
3. Simplify the fraction.
So, the correct order to solve the equation \(10x - 18 = -2\) is:
1 → 2 → 3
1. **Add 18 to both sides**: This isolates the term with \(x\).
\[
10x - 18 + 18 = -2 + 18 \implies 10x = 16
\]
2. **Divide both sides by 10**: This solves for \(x\).
\[
\frac{10x}{10} = \frac{16}{10} \implies x = \frac{16}{10}
\]
3. **Simplify the fraction**: This provides the final answer.
\[
x = \frac{8}{5} \text{ or } x = 1.6
\]
Putting it all together, here are the steps:
1. Add 18 to both sides.
2. Divide both sides by 10.
3. Simplify the fraction.
So, the correct order to solve the equation \(10x - 18 = -2\) is:
1 → 2 → 3