x^3 + 5=πx^2 + x

Solve for x

rewrite the equation the the standard form of a cubic equation ...

x^3 - πx^2 - x + 5 = 0

There is no easy way to solve a cubic, unless it factors.
There is a method called Newton's Method, but it requires Calculus.
A Google search will give you formulas that solve cubics.

Here is a nice webpage that solves cubics for you
http://www.1728.com/cubic.htm

It gave me 3 real solutions,
x = 2.888527
x = -1.195207 and
x = 1.4482725