Let's solve the equation step by step:
The given equation is:
\[ -2(3 - 4x) + 5(2 - 1.6x) = 4 \]
Distribute the constants:
\[ -2(3) + (-2)(-4x) + 5(2) + 5(-1.6x) = 4 \]
This gives:
\[ -6 + 8x + 10 - 8x = 4 \]
Combine like terms:
\[ (-6 + 10) + (8x - 8x) = 4 \]
Simplifying this gives:
\[ 4 + 0 = 4 \]
Simplify the equation:
\[ 4 = 4 \]
This is a true statement, which means the equation is satisfied for all values of \(x\). Thus, the solution set is:
\[ \text{All real numbers} \quad (x \in \mathbb{R}) \]
