Let's solve the equation step by step:

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

### Step 1: Simplify the signs
The equation can be rewritten as:

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

### Step 2: Move all the \(x\)-terms to one side
Add \(5x\) to both sides:

\[
-3x + 5 + 5x = 2
\]
This simplifies to:
\[
2x + 5 = 2
\]

### Step 3: Move constants to the other side
Subtract \(5\) from both sides:

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

### Step 4: Solve for \(x\)
Divide both sides by 2:

\[
x = \frac{-3}{2}
\]
\[
x = -\frac{3}{2}
\]

The solution is:
\[
x = -\frac{3}{2}
\]

Do you want any more details on this, or have any questions?

Here are 5 related questions you might explore:
1. How would the solution change if we added a constant to both sides of the equation?
2. What if the coefficient of \(x\) was different on one side?
3. How do you solve linear equations involving fractions?
4. How can you check if the solution to an equation is correct?
5. How would the steps change if the equation was quadratic?

**Tip**: Always start by simplifying signs and combining like terms to make solving easier!

Discover how to solve the linear equation -(+3x)-(-5)=(-5x)-(-2) step by step. This solution covers simplifying signs, combining like terms, and isolating variables, making it ideal for students in Grades 6-8.

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