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 of the equations step by step.

1. \(3x - (9x - 3) = 3(4 - 2x)\)

First, simplify both sides:

\[ 3x - 9x + 3 = 12 - 6x \]

Combine like terms on the left side:

\[ -6x + 3 = 12 - 6x \]

Now, add \(6x\) to both sides:

\[ 3 = 12 \]

This results in a contradiction, meaning there are no solutions for this equation.

2. \(7x - (x + 3) = 3(2x - 1)\)

Now, simplify:

\[ 7x - x - 3 = 6x - 3 \]

Combine like terms:

\[ 6x - 3 = 6x - 3 \]

This results in \(0 = 0\), which means that the equation is true for all values of \(x\). Therefore, the solution is:

All \(x\) values are solutions.

3. \(3 - 5(x - 1) = x - 2\)

Distributing on the left:

\[ 3 - 5x + 5 = x - 2 \]

Combine like terms:

\[ 8 - 5x = x - 2 \]

Now, add \(5x\) to both sides:

\[ 8 = 6x - 2 \]

Add \(2\) to both sides:

\[ 10 = 6x \]

Divide by \(6\):

\[ x = \frac{10}{6} = \frac{5}{3} \]

4. \(0.2(x - 2) - 0.4(x + 3) = 0.4 - 0.6x\)

First, distribute the terms on the left:

\[ 0.2x - 0.4 - 0.4x - 1.2 = 0.4 - 0.6x \]

Combine like terms on the left:

\[ (0.2x - 0.4x) - 1.6 = 0.4 - 0.6x \]

Simplifying gives:

\[ -0.2x - 1.6 = 0.4 - 0.6x \]

Add \(0.6x\) to both sides:

\[ 0.4x - 1.6 = 0.4 \]

Add \(1.6\) to both sides:

\[ 0.4x = 2 \]

Divide by \(0.4\):

\[ x = \frac{2}{0.4} = 5 \]

Summary of Solutions:

1. No solutions.
2. All \(x\) values are solutions.
3. \(x = \frac{5}{3}\)
4. \(x = 5\)