Let's solve the equation step by step:

Given equation: $-2(-x + 3) + 4x + 2 = 2$

Step 1: Distribute the $-2$ across $(-x + 3)$

$-2(-x) + (-2)(3) + 4x + 2 = 2$ This simplifies to: $2x - 6 + 4x + 2 = 2$

Step 2: Combine like terms

$(2x + 4x) + (-6 + 2) = 2$ $6x - 4 = 2$

Step 3: Add 4 to both sides to isolate the term with $x$

$6x = 2 + 4$ $6x = 6$

Step 4: Divide both sides by 6 to solve for $x$

$x = \frac{6}{6}$ $x = 1$

So, the solution is: $x = 1$

Would you like more details on any step?

Here are 5 related questions for further practice:

1. Solve: $-3(x - 2) + 5x + 7 = 3$
2. Solve: $4(2x - 1) - 5x + 9 = 0$
3. Simplify: $3(2x + 1) - 4(x - 2)$
4. Solve: $5x - 3(x - 4) = 8$
5. Factor: $2x^2 - 4x = 0$

Tip: Always distribute multiplication before combining like terms in multi-term equations.