Let's solve the equation step by step.

Given equation: $-(+3x) - (-5) = (-5x) - (-2) + 3$

Step 1: Simplify the signs

• The expression $-(+3x)$ simplifies to $-3x$.
• The expression $-(-5)$ simplifies to $+5$.
• The expression $-(-2)$ simplifies to $+2$.

So the equation becomes: $-3x + 5 = -5x + 2 + 3$

Step 2: Combine like terms on both sides

On the right side, combine the constants $2$ and $3$: $-3x + 5 = -5x + 5$

Step 3: Move all terms involving $x$ to one side and constants to the other side

Add $5x$ to both sides: $-3x + 5x + 5 = 5$ This simplifies to: $2x + 5 = 5$

Subtract $5$ from both sides: $2x = 0$

Step 4: Solve for $x$

Divide both sides by $2$: $x = 0$

So the solution is: $x = 0$

Would you like further details or have any questions about this solution?

Here are some related questions you might consider:

1. What happens if the equation had different coefficients for $x$?
2. How do you solve a quadratic equation?
3. Can you explain the process of factoring equations?
4. What are the implications of having no solution for a linear equation?
5. How do you handle equations with variables on both sides in general?

Tip: When solving equations, always simplify both sides as much as possible before moving terms around. This reduces the chance of errors.