0,4×(5×-6)+7,2=2×(×+0,6);

Let's solve the equation step by step. The given equation is: \[ 0.4 \times (5x - 6) + 7.2 = 2 \times (x + 0.6) \] 1. Distribute \(0.4\) on the left side: \[ 0.4 \times 5x - 0.4 \times 6 + 7.2 = 2 \times (x + 0.6) \] \[ 2x - 2.4 + 7.2 = 2(x + 0.6) \] \[ 2x + 4.8 = 2(x + 0.6) \] 2. Distribute \(2\) on the right side: \[ 2x + 4.8 = 2x + 1.2 \] 3. 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**.