2(1-5e)=3(5e-1)

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Solution for 2(1-5e)=3(5e-1) equation:


Simplifying
2(1 + -5e) = 3(5e + -1)
(1 * 2 + -5e * 2) = 3(5e + -1)
(2 + -10e) = 3(5e + -1)

Reorder the terms:
2 + -10e = 3(-1 + 5e)
2 + -10e = (-1 * 3 + 5e * 3)
2 + -10e = (-3 + 15e)

Solving
2 + -10e = -3 + 15e

Solving for variable 'e'.

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

Add '-15e' to each side of the equation.
2 + -10e + -15e = -3 + 15e + -15e

Combine like terms: -10e + -15e = -25e
2 + -25e = -3 + 15e + -15e

Combine like terms: 15e + -15e = 0
2 + -25e = -3 + 0
2 + -25e = -3

Add '-2' to each side of the equation.
2 + -2 + -25e = -3 + -2

Combine like terms: 2 + -2 = 0
0 + -25e = -3 + -2
-25e = -3 + -2

Combine like terms: -3 + -2 = -5
-25e = -5

Divide each side by '-25'.
e = 0.2

Simplifying
e = 0.2

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