Question

4.8​(xnegative 3.75​)equalsnegative 14.4

Answer 1

To solve the equation \(4.8(x - 3.75) = -14.4\), we can follow these steps:

1. **Distribute 4.8**:
\[
4.8x - 4.8 \times 3.75 = -14.4
\]
First, calculate \(4.8 \times 3.75\):
\[
4.8 \times 3.75 = 18
\]
Now, substitute back into the equation:
\[
4.8x - 18 = -14.4
\]

2. **Add 18 to both sides**:
\[
4.8x = -14.4 + 18
\]
Calculate \(-14.4 + 18\):
\[
-14.4 + 18 = 3.6
\]
Now, the equation becomes:
\[
4.8x = 3.6
\]

3. **Divide by 4.8**:
\[
x = \frac{3.6}{4.8}
\]
To simplify \( \frac{3.6}{4.8} \):
\[
x = \frac{3.6 \div 4.8}{4.8 \div 4.8} = \frac{0.75}{1} = 0.75
\]

So the solution is:
\[
\boxed{0.75}
\]