ex-5e(-x)-4=0

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Solution for ex-5e(-x)-4=0 equation:


Simplifying
ex + -5e(-1x) + -4 = 0

Remove parenthesis around (-1x)
ex + -5e * -1x + -4 = 0

Reorder the terms for easier multiplication:
ex + -5 * -1e * x + -4 = 0

Multiply -5 * -1
ex + 5e * x + -4 = 0

Multiply e * x
ex + 5ex + -4 = 0

Reorder the terms:
-4 + ex + 5ex = 0

Combine like terms: ex + 5ex = 6ex
-4 + 6ex = 0

Solving
-4 + 6ex = 0

Solving for variable 'e'.

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

Add '4' to each side of the equation.
-4 + 4 + 6ex = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6ex = 0 + 4
6ex = 0 + 4

Combine like terms: 0 + 4 = 4
6ex = 4

Divide each side by '6x'.
e = 0.6666666667x-1

Simplifying
e = 0.6666666667x-1

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