To solve the equation 4(x - 3) = 2(x - 2), we can use the distributive property to simplify the expressions on both sides of the equation:
4(x - 3) = 2(x - 2)
4x - 12 = 2x - 4
Next, we can simplify the equation by moving all the x terms to one side of the equation and all the constant terms to the other side of the equation:
4x - 12 = 2x - 4
4x - 2x = -4 + 12
2x = 8
Finally, we can solve for x by dividing both sides of the equation by 2:
2x = 8
x = 4
Therefore, the solution to the equation 4(x - 3) = 2(x - 2) is x = 4.