Question

Explain the steps in solving
and write the solution to the equation.

2.14x-12.18=-5.76

Answer 1

To solve the equation \(2.14x - 12.18 = -5.76\), follow these steps:

### Step 1: Isolate the term with \(x\)
First, add \(12.18\) to both sides of the equation to eliminate the constant term on the left:

\[
2.14x - 12.18 + 12.18 = -5.76 + 12.18
\]

This simplifies to:

\[
2.14x = 6.42
\]

### Step 2: Solve for \(x\)
Next, divide both sides by \(2.14\) to isolate \(x\):

\[
x = \frac{6.42}{2.14}
\]

### Step 3: Perform the division
Now, calculate the division:

\[
x = 3
\]

### Final Solution
The solution to the equation \(2.14x - 12.18 = -5.76\) is:

\[
\boxed{3}
\]

Answer 2

can you put it all together

Answer 3

Sure! Here’s a comprehensive explanation where I put all the steps together for solving the equation \(2.14x - 12.18 = -5.76\).

### Step-by-Step Solution

1. **Start with the original equation:**
\[
2.14x - 12.18 = -5.76
\]

2. **Isolate the term with \(x\):**
To do this, add \(12.18\) to both sides of the equation:
\[
2.14x - 12.18 + 12.18 = -5.76 + 12.18
\]
This simplifies to:
\[
2.14x = 6.42
\]

3. **Solve for \(x\):**
Next, divide both sides by \(2.14\) to isolate \(x\):
\[
x = \frac{6.42}{2.14}
\]

4. **Perform the division:**
Calculate the division:
\[
x = 3
\]

### Final Solution
Thus, the solution to the equation \(2.14x - 12.18 = -5.76\) is:
\[
\boxed{3}
\]

This concludes the solution process!