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

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


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

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

Combine like terms: 1 + 2 = 3
3 + -2e = -3e + -5(e + -5)

Reorder the terms:
3 + -2e = -3e + -5(-5 + e)
3 + -2e = -3e + (-5 * -5 + e * -5)
3 + -2e = -3e + (25 + -5e)

Reorder the terms:
3 + -2e = 25 + -3e + -5e

Combine like terms: -3e + -5e = -8e
3 + -2e = 25 + -8e

Solving
3 + -2e = 25 + -8e

Solving for variable 'e'.

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

Add '8e' to each side of the equation.
3 + -2e + 8e = 25 + -8e + 8e

Combine like terms: -2e + 8e = 6e
3 + 6e = 25 + -8e + 8e

Combine like terms: -8e + 8e = 0
3 + 6e = 25 + 0
3 + 6e = 25

Add '-3' to each side of the equation.
3 + -3 + 6e = 25 + -3

Combine like terms: 3 + -3 = 0
0 + 6e = 25 + -3
6e = 25 + -3

Combine like terms: 25 + -3 = 22
6e = 22

Divide each side by '6'.
e = 3.666666667

Simplifying
e = 3.666666667

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