Question

What is the first step in solving for x in the equation 5.6(x+1.42)=7.8 ?

Answer 1

what is the final asnwer

Answer 2

The first step in solving the equation \( 5.6(x + 1.42) = 7.8 \) is to distribute the \( 5.6 \) across the expression \( (x + 1.42) \). This means you will multiply \( 5.6 \) by both \( x \) and \( 1.42 \).

So, you would rewrite the equation as:

\[
5.6x + 5.6 \cdot 1.42 = 7.8
\]

Calculating \( 5.6 \cdot 1.42 \) gives you a specific value to simplify the equation further. After that, you can proceed to isolate \( x \).

Answer 3

To find the final answer for \( x \) in the equation \( 5.6(x + 1.42) = 7.8 \), let's follow the steps:

1. **Distribute** \( 5.6 \):
\[
5.6x + 5.6 \cdot 1.42 = 7.8
\]
First, calculate \( 5.6 \cdot 1.42 \):
\[
5.6 \cdot 1.42 = 7.952
\]
So, the equation becomes:
\[
5.6x + 7.952 = 7.8
\]

2. **Isolate** \( 5.6x \):
\[
5.6x = 7.8 - 7.952
\]
Calculate the right-hand side:
\[
7.8 - 7.952 = -0.152
\]
So, the equation is now:
\[
5.6x = -0.152
\]

3. **Solve for** \( x \):
\[
x = \frac{-0.152}{5.6}
\]
Calculate this value:
\[
x = -0.027142857 \approx -0.0271 \quad \text{(rounded to four decimal places)}
\]

Therefore, the final answer is:
\[
x \approx -0.0271
\]