4e(-5*x)+0.2038=0.574

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Solution for 4e(-5*x)+0.2038=0.574 equation: 


Simplifying
4e(-5x) + 0.2038 = 0.574

Remove parenthesis around (-5x)
4e * -5x + 0.2038 = 0.574

Reorder the terms for easier multiplication:
4 * -5e * x + 0.2038 = 0.574

Multiply 4 * -5
-20e * x + 0.2038 = 0.574

Multiply e * x
-20ex + 0.2038 = 0.574

Reorder the terms:
0.2038 + -20ex = 0.574

Solving
0.2038 + -20ex = 0.574

Solving for variable 'e'.

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

Add '-0.2038' to each side of the equation.
0.2038 + -0.2038 + -20ex = 0.574 + -0.2038

Combine like terms: 0.2038 + -0.2038 = 0.0000
0.0000 + -20ex = 0.574 + -0.2038
-20ex = 0.574 + -0.2038

Combine like terms: 0.574 + -0.2038 = 0.3702
-20ex = 0.3702

Divide each side by '-20x'.
e = -0.01851x-1

Simplifying
e = -0.01851x-1

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