To find the truth set of the equation 4x + 2 = 3(2x), we need to solve for x and then determine the values of x that make the equation true.
Starting with the equation:
4x + 2 = 3(2x)
Distribute the 3 on the right-hand side:
4x + 2 = 6x
Subtract 4x from both sides:
2 = 2x
Divide both sides by 2:
1 = x
Therefore, the truth set of the equation 4x + 2 = 3(2x) is {1}. In other words, the equation is only true when x is equal to 1.