6x-20e(-0.5x)+15=0

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Solution for 6x-20e(-0.5x)+15=0 equation:


Simplifying
6x + -20e(-0.5x) + 15 = 0

Remove parenthesis around (-0.5x)
6x + -20e * -0.5x + 15 = 0

Reorder the terms for easier multiplication:
6x + -20 * -0.5e * x + 15 = 0

Multiply -20 * -0.5
6x + 10e * x + 15 = 0

Multiply e * x
6x + 10ex + 15 = 0

Reorder the terms:
15 + 10ex + 6x = 0

Solving
15 + 10ex + 6x = 0

Solving for variable 'e'.

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

Add '-15' to each side of the equation.
15 + 10ex + -15 + 6x = 0 + -15

Reorder the terms:
15 + -15 + 10ex + 6x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 10ex + 6x = 0 + -15
10ex + 6x = 0 + -15

Combine like terms: 0 + -15 = -15
10ex + 6x = -15

Add '-6x' to each side of the equation.
10ex + 6x + -6x = -15 + -6x

Combine like terms: 6x + -6x = 0
10ex + 0 = -15 + -6x
10ex = -15 + -6x

Divide each side by '10x'.
e = -1.5x-1 + -0.6

Simplifying
e = -1.5x-1 + -0.6

Reorder the terms:
e = -0.6 + -1.5x-1

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