Let's simplify and solve the equation step by step:

Given equation:

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

### Step 1: Simplify the signs.
- \(-( +3x)\) becomes \(-3x\).
- \(-(-5)\) becomes \(+5\).
- \(-(-5x)\) becomes \(+5x\).
- \(-(-2)\) becomes \(+2\).

Now, the equation looks like this:

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

### Step 2: Simplify the right-hand side.
Add \(2 + 3\):

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

### Step 3: Move all terms involving \(x\) to one side.
Add \(3x\) to both sides:

\[
5 = 8x + 5
\]

### Step 4: Move constants to the other side.
Subtract \(5\) from both sides:

\[
0 = 8x
\]

### Step 5: Solve for \(x\).
Divide both sides by \(8\):

\[
x = 0
\]

### Final solution:
\[
x = 0
\]

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

Here are 5 related questions for further practice:
1. Solve: \(-2x - 4 = 3x + 1\).
2. Solve: \(-4 + 5x - (-3) = 2x + 7\).
3. Solve: \(2(-3x + 1) = 6 + 4x\).
4. Solve: \((2x - 5) - (3x + 7) = 8\).
5. Solve: \(-5x + 4 = 2 - 3x\).

**Tip:** Always simplify the signs first when solving equations; it reduces complexity!

Explore the steps to solve the linear equation -(+3x) - (-5) = (-5x) - (-2) + 3. This algebra problem demonstrates key techniques for simplifying expressions and balancing equations. Suitable for students in Grades 8-10.

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