Question

Find the value of the variable using these steps.

0.4x + 3.9 = 5.78

1. Subtraction property of equality

2. Division property of equality

x =

Answer 1

Let's solve the equation step by step as per your instructions.

Given equation:
\[ 0.4x + 3.9 = 5.78 \]

### Step 1: Subtraction property of equality
To isolate the term with \( x \), we need to subtract \( 3.9 \) from both sides of the equation:

\[ 0.4x + 3.9 - 3.9 = 5.78 - 3.9 \]
\[ 0.4x = 1.88 \]

### Step 2: Division property of equality
Now, we will divide both sides by \( 0.4 \) to solve for \( x \):

\[ x = \frac{1.88}{0.4} \]
Calculating the right side:
\[ x = 4.7 \]

So, the value of \( x \) is:
\[ \boxed{4.7} \]