Final answer:
To solve the given equation, distribute, combine like terms, isolate the variable, and solve for X.
Step-by-step explanation:
To solve the given equation, we start by distributing the -4 to both terms inside the parentheses: -4(X + 2) + 2 = 2(X + 6). This gives us -4X - 8 + 2 = 2X + 12. Then we combine like terms and simplify the equation: -4X - 6 = 2X + 12. Next, we isolate the variable on one side of the equation by subtracting 2X from both sides: -6 - 2X = 12. We then add 6 to both sides to eliminate the -6: -2X = 18. Finally, we divide both sides by -2 to solve for X, resulting in X = -9.