Velocity and Position Problem

A particle moves along the x-axis so that at any time t>0, its velocity is given by $\displaystyle v(t)=4-6t^2$. If the particle is at position x=7 at time t=1, what is the position of the particle at time t=2?

(a) -10

(b) -5

(c) -3

(d) 3

(e)17

How would I figure out the position of the particle when I'm only given the velocity equation and not the position equation? I tried integrating the velocity equation to get the position equation, but when I plug back in t=1, the position equation that I get from integrating doesn't give me x=7.