Question

Solve the following equation. Show all your work.

21.3=x+5.1
6th grade words

Answer 1

To solve the equation \(21.3 = x + 5.1\), we need to find the value of \(x\).

1. **Start with the equation**:
\[
21.3 = x + 5.1
\]

2. **Get \(x\) by itself**:
To do this, we need to remove \(5.1\) from the right side of the equation. We can do this by subtracting \(5.1\) from both sides of the equation.

3. **Subtract \(5.1\) from both sides**:
\[
21.3 - 5.1 = x + 5.1 - 5.1
\]

4. **Calculate the left side**:
To subtract \(5.1\) from \(21.3\), we can line up the numbers like this:
```
21.3
- 5.1
------
```
If we subtract:
- From the tenths place: \(3 - 1 = 2\)
- From the units place: \(21 - 5 = 16\)

So, \(21.3 - 5.1 = 16.2\).

5. **Now the equation looks like this**:
\[
16.2 = x
\]

6. **Putting it all together**:
We found that \(x = 16.2\).

**Final answer**:
\[
x = 16.2
\]