Solve: `0.4 x + 2.7 =2.9 x-3.55`

Answer

To solve the equation \( 0.4x + 2.7 = 2.9x - 3.55 \), we will follow these steps:

### Step 1: Move all terms involving \( x \) to one side and constant terms to the other side.
We start with the equation:
\[ 0.4x + 2.7 = 2.9x - 3.55 \]

We can move \( 0.4x \) to the right side by subtracting \( 0.4x \) from both sides:
\[ 2.7 = 2.9x - 0.4x - 3.55 \]

### Step 2: Combine like terms.
Now, we simplify the right side:
\[ 2.7 = (2.9 - 0.4)x - 3.55 \]
\[ 2.7 = 2.5x - 3.55 \]

### Step 3: Move the constant term to the left side.
Next, we add \( 3.55 \) to both sides to isolate the term with \( x \):
\[ 2.7 + 3.55 = 2.5x \]
\[ 6.25 = 2.5x \]

### Step 4: Solve for \( x \).
Now, we divide both sides by \( 2.5 \) to solve for \( x \):
\[ x = \frac{6.25}{2.5} \]

### Step 5: Calculate the value.
Now we perform the division:
\[ x = 2.5 \]

Thus, the solution to the equation is:
\[ x = 2.5 \]

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