Let's solve the equation step-by-step:
The equation is:
\[ 5(x - 0.2) - 4(5x - 0.3) = 1.7 - 12 \]
First, simplify the right side:
\[ 1.7 - 12 = -10.3 \]
Now, substitute this back into the equation:
\[ 5(x - 0.2) - 4(5x - 0.3) = -10.3 \]
Next, distribute the terms on the left side:
Calculate \( 5(x - 0.2) \): \[ 5x - 5 \cdot 0.2 = 5x - 1 \]
Calculate \( -4(5x - 0.3) \): \[ -4 \cdot 5x + 4 \cdot 0.3 = -20x + 1.2 \]
Now, substitute these back into the equation:
\[ (5x - 1) + (-20x + 1.2) = -10.3 \]
Combine like terms:
\[ 5x - 20x - 1 + 1.2 = -10.3 \]
This simplifies to:
\[ -15x + 0.2 = -10.3 \]
Now, subtract 0.2 from both sides:
\[ -15x = -10.3 - 0.2 \] \[ -15x = -10.5 \]
Now, divide both sides by -15:
\[ x = \frac{-10.5}{-15} \]
This gives:
\[ x = \frac{10.5}{15} = \frac{7}{10} = 0.7 \]
So the solution to the equation is:
\[ x = 0.7 \]