Solve the equation for the indicated variable a2x a4 a4x f

Solve the equation for the indicated variable.

a²x + (a-4) = (a+4)x; for x

x=

Solution

given a²x + (a-4) = (a+4)x

rearrange the terms

a²x -(a+4)x = - (a-4)

x(a² -(a+4)) = (-a+4)

x(a² -a-4) = (-a+4)

x= (-a+4)/(a² -a-4)