3x^2 = 6x-3 (I'm using the x^2 for x to the 2 power)
Subtract the 6x and add the 3 to both sides to get all terms to one side:
3x^2-6x+3=0
Factor out a 3:
3(x^2-2x+1)=0
Factor the quadratic:
3(x-1)(x-1)
Set x-1 equal to 0 and solve:
x-1=0
x=1
Answer:
x=1