Answer:
x = -8
Explanation:
To solve for x in equation 3(x - 2) = 4x + 2, we need to simplify the expression on the left side of the equation by using the distributive property. This gives:
3x - 6 = 4x + 2
Next, we need to isolate the variable x on one side of the equation. We can do this by adding 6 to both sides of the equation:
3x - 6 + 6 = 4x + 2 + 6
Simplifying this expression, we get:
3x = 4x + 8
Now, we need to isolate x again by subtracting 4x from both sides:
3x - 4x = 4x + 8 - 4x
Simplifying this expression gives:
-x = 8
Finally, we solve for x by multiplying both sides of the equation by -1:
x = -8
Therefore, the solution to the equation 3(x-2) = 4x + 2 is x = -8.