5(0,4x-0,3)+(0,8-0,6x)=1,4x-0,7

Let's solve the equation step by step.

The given equation is:

\[ 5(0.4x - 0.3) + (0.8 - 0.6x) = 1.4x - 0.7 \]

1. Distribute the 5 in the first term: \[ 5 \cdot 0.4x - 5 \cdot 0.3 = 2.0x - 1.5 \]

   Now the equation becomes: \[ 2.0x - 1.5 + (0.8 - 0.6x) = 1.4x - 0.7 \]

2. Simplify the left side: \[ 2.0x - 1.5 + 0.8 - 0.6x = 1.4x - 0.7 \] \[ (2.0x - 0.6x) + (-1.5 + 0.8) = 1.4x - 0.7 \] \[ 1.4x - 0.7 = 1.4x - 0.7 \]

3. Now, notice that both sides of the equation are equal: \[ 1.4x - 0.7 = 1.4x - 0.7 \]

This equation is valid for any value of \( x \), so the solution is:

The equation is an identity, meaning it holds true for all values of \( x \).