Solve: `2.3x-0.4=2.8+0.7x`

Answer

To solve the equation \( 2.3x - 0.4 = 2.8 + 0.7x \), we will follow these steps:

### Step 1: Write down the equation
We start with the equation:
\[ 2.3x - 0.4 = 2.8 + 0.7x \]

### Step 2: Move all terms involving \( x \) to one side
To do this, we subtract \( 0.7x \) from both sides:
\[ 2.3x - 0.7x - 0.4 = 2.8 \]

### Step 3: Simplify the left side
Now, we simplify the left side:
\[ (2.3 - 0.7)x - 0.4 = 2.8 \]
\[ 1.6x - 0.4 = 2.8 \]

### Step 4: Move the constant term to the other side
Next, we add \( 0.4 \) to both sides to isolate the term with \( x \):
\[ 1.6x = 2.8 + 0.4 \]

### Step 5: Simplify the right side
Now, we simplify the right side:
\[ 1.6x = 3.2 \]

### Step 6: Solve for \( x \)
To find \( x \), we divide both sides by \( 1.6 \):
\[ x = \frac{3.2}{1.6} \]

### Step 7: Calculate the value of \( x \)
Now we perform the division:
\[ x = 2 \]

### Final Answer
Thus, the solution to the equation is:
\[ x = 2 \]

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