## Solving the Equation: 0.8(5-x) - 1.2(x+4) = -2.8

This article will guide you through the steps of solving the given linear equation.

### Step 1: Distribute

Begin by distributing the coefficients on both sides of the equation:

```
0.8(5-x) - 1.2(x+4) = -2.8
4 - 0.8x - 1.2x - 4.8 = -2.8
```

### Step 2: Combine Like Terms

Combine the 'x' terms and the constant terms on the left side of the equation:

```
-2x - 0.8 = -2.8
```

### Step 3: Isolate the Variable

Add 0.8 to both sides of the equation to isolate the 'x' term:

```
-2x = -2
```

### Step 4: Solve for x

Divide both sides of the equation by -2 to solve for 'x':

```
x = 1
```

### Conclusion

Therefore, the solution to the equation **0.8(5-x) - 1.2(x+4) = -2.8** is **x = 1**.