Let's solve the equation step by step.
The given equation is:
\[ 0.4 \times (5x - 6) + 7.2 = 2 \times (x + 0.6) \]
Distribute \(0.4\) on the left side:
\[ 0.4 \times 5x - 0.4 \times 6 + 7.2 = 2 \times (x + 0.6) \]
\[ 2x - 2.4 + 7.2 = 2(x + 0.6) \]
\[ 2x + 4.8 = 2(x + 0.6) \]
Distribute \(2\) on the right side:
\[ 2x + 4.8 = 2x + 1.2 \]
Now, we simplify the equation:
To isolate \(x\), let's subtract \(2x\) from both sides:
\[ 4.8 = 1.2 \]
This is a contradiction, which means there are no values of \(x\) that satisfy the original equation.
Therefore, the equation has no solution.