3x-(9x-3)=3(4-2x) 7x-(x+3)=3*(2x-1) 3-5(x-1)=x-2 0,2(x-2)-0,4(x+3)=0,4-0,6x

Let's solve each equation step by step.

Equation 1:

\[ 3x - (9x - 3) = 3(4 - 2x) \]

First, simplify the left side: \[ 3x - 9x + 3 = 3(4 - 2x) \] \[ -6x + 3 = 12 - 6x \]

Now, add \(6x\) to both sides: \[ -6x + 6x + 3 = 12 - 6x + 6x \] \[ 3 = 12 \]

Since \(3\) does not equal \(12\), this equation has no solution.

Equation 2:

\[ 7x - (x + 3) = 3(2x - 1) \]

Simplifying both sides: \[ 7x - x - 3 = 6x - 3 \] \[ 6x - 3 = 6x - 3 \]

This identity holds true for all values of \(x\). The solution is: \[ \text{All } x \]

Equation 3:

\[ 3 - 5(x - 1) = x - 2 \]

Distributing on the left side: \[ 3 - 5x + 5 = x - 2 \] \[ 8 - 5x = x - 2 \]

Now, add \(5x\) to both sides: \[ 8 = 6x - 2 \]

Add \(2\) to both sides: \[ 10 = 6x \]

Now, divide by \(6\): \[ x = \frac{10}{6} = \frac{5}{3} \]

Equation 4:

\[ 0.2(x - 2) - 0.4(x + 3) = 0.4 - 0.6x \]

Distributing: \[ 0.2x - 0.4 - 0.4x - 1.2 = 0.4 - 0.6x \] Combine like terms on the left: \[ (0.2x - 0.4x) - 1.6 = 0.4 - 0.6x \] \[ -0.2x - 1.6 = 0.4 - 0.6x \]

Add \(0.6x\) to both sides: \[ -0.2x + 0.6x - 1.6 = 0.4 \] Combine like terms: \[ 0.4x - 1.6 = 0.4 \]

Add \(1.6\) to both sides: \[ 0.4x = 2 \] Now, divide by \(0.4\): \[ x = \frac{2}{0.4} = 5 \]

Summary of Solutions

1. No solution (first equation).
2. All \(x\) (second equation).
3. \(x = \frac{5}{3}\) (third equation).
4. \(x = 5\) (fourth equation).