Find the truth set of the equation 6/8(2x+2)+2=2/4(2x-4)

Answer 1

To find the truth set of the equation, we first need to simplify both sides:

6/8(2x+2) + 2 = 2/4(2x-4)
3/4(2x+2) + 2 = 1/2(2x-4)
3/4 * 2x + 3/4 * 2 + 2 = 1/2 * 2x - 1/2 * 4
3/2x + 3/2 + 2 = 1x - 2
3/2x + 7/2 = 1x - 2
3x + 7 = 2x - 4
3x - 2x = -4 - 7
x = -11

Therefore, the truth set of the equation is x = -11.