To solve the equations in the images, let's break them down step by step.

### 17)
\[
\frac{1}{2x-2} + \frac{2}{x+1} = \frac{5}{3x+3}
\]

**Step 1:** Find a common denominator. The common denominator is \((2x-2)(x+1)(3x+3)\).

**Step 2:** Multiply through by the common denominator to eliminate fractions.

**Step 3:** Simplify and solve the resulting equation.

### 18)
\[
\frac{1}{6x-2} - \frac{3}{3x-1} = \frac{4}{3x+1}
\]

**Step 1:** Identify the common denominator of all fractions involved.

**Step 2:** Multiply through by that common denominator.

**Step 3:** Simplify and solve for \(x\).

### 19)
\[
\frac{x+1}{2x-2} + \frac{x-1}{2x+2} = \frac{2x}{(1-x)(x+1)}
\]

**Step 1:** Again, find a common denominator.

**Step 2:** Multiply through by that common denominator.

**Step 3:** Simplify and solve the equation.

### 20)
\[
\frac{x}{2(x-3)} - \frac{x}{2x+2} = \frac{2x}{(x-3)(x+1)}
\]

**Step 1:** Identify a common denominator.

**Step 2:** Multiply through by that common denominator to clear fractions.

**Step 3:** Simplify and solve the equation.

### General Approach:
1. **Clear Fractions**: Multiply all terms by the common denominator.
2. **Rearrange Terms**: Move all terms to one side of the equation.
3. **Combine Like Terms**: Simplify the equation.
4. **Solve the Resulting Polynomial**: Use factoring, the quadratic formula, or numerical methods as needed.

If you're still having trouble, let me know, and I can provide assistance for solving a specific equation!