Let's solve the equation step by step:
You have the equation:
\[ 1 = 0.4x - 0.9x - 39 \]
First, combine the terms with \( x \):
\[ 0.4x - 0.9x = -0.5x \]
So, the equation becomes:
\[ 1 = -0.5x - 39 \]
Next, add 39 to both sides of the equation:
\[ 1 + 39 = -0.5x \]
This simplifies to:
\[ 40 = -0.5x \]
Now, divide both sides by -0.5 to solve for \( x \):
\[ x = \frac{40}{-0.5} \]
Calculating that gives:
\[ x = -80 \]
So the solution to the equation is:
\[ x = -80 \]