e(x)+4e(-x)=5

Solution for e(x)+4e(-x)=5 equation:

Simplifying
e(x) + 4e(-1x) = 5

Multiply e * x
ex + 4e(-1x) = 5

Remove parenthesis around (-1x)
ex + 4e * -1x = 5

Reorder the terms for easier multiplication:
ex + 4 * -1e * x = 5

Multiply 4 * -1
ex + -4e * x = 5

Multiply e * x
ex + -4ex = 5

Combine like terms: ex + -4ex = -3ex
-3ex = 5

Solving
-3ex = 5

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '-3x'.
e = -1.666666667x-1

Simplifying
e = -1.666666667x-1