10+e-5+e=5(e-1)

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Solution for 10+e-5+e=5(e-1) equation:


Simplifying
10 + e + -5 + e = 5(e + -1)

Reorder the terms:
10 + -5 + e + e = 5(e + -1)

Combine like terms: 10 + -5 = 5
5 + e + e = 5(e + -1)

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

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

Solving
5 + 2e = -5 + 5e

Solving for variable 'e'.

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

Add '-5e' to each side of the equation.
5 + 2e + -5e = -5 + 5e + -5e

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

Combine like terms: 5e + -5e = 0
5 + -3e = -5 + 0
5 + -3e = -5

Add '-5' to each side of the equation.
5 + -5 + -3e = -5 + -5

Combine like terms: 5 + -5 = 0
0 + -3e = -5 + -5
-3e = -5 + -5

Combine like terms: -5 + -5 = -10
-3e = -10

Divide each side by '-3'.
e = 3.333333333

Simplifying
e = 3.333333333

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