Let's solve the equation $-2(5 - 3x) = 2$.

Step 1: Distribute the $-2$ on the left side

$-2 \times 5 + (-2) \times (-3x) = -10 + 6x$ So, the equation becomes: $-10 + 6x = 2$

Step 2: Add $10$ to both sides to isolate the term with $x$

$6x = 2 + 10$ $6x = 12$

Step 3: Divide both sides by $6$ to solve for $x$

$x = \frac{12}{6}$ $x = 2$

Final Answer:

$x = 2$

Would you like any additional details or explanations?

Here are some related questions you might find interesting:

1. How do you solve equations with variables on both sides?
2. What happens when the equation involves fractions?
3. Can you explain solving equations with exponents?
4. How do you solve quadratic equations?
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Tip: Always double-check your solution by plugging the value of $x$ back into the original equation.