$$\frac{95+90+85+x}{5}$$
She wants her mean score to be 95, so:
$$\frac{95+90+85+x}{5}=95$$
Multiply both sides by 5:
$$95+90+85+x=475$$
Combine like terms:
$$270+x=475$$
Subtract 270 from both sides:
$$x=205$$
Therefore, Brianna needs to score 205 on her last test to have a mean score of 95.