100+e-55+2e=5(2e-1)

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Solution for 100+e-55+2e=5(2e-1) equation:


Simplifying
100 + e + -55 + 2e = 5(2e + -1)

Reorder the terms:
100 + -55 + e + 2e = 5(2e + -1)

Combine like terms: 100 + -55 = 45
45 + e + 2e = 5(2e + -1)

Combine like terms: e + 2e = 3e
45 + 3e = 5(2e + -1)

Reorder the terms:
45 + 3e = 5(-1 + 2e)
45 + 3e = (-1 * 5 + 2e * 5)
45 + 3e = (-5 + 10e)

Solving
45 + 3e = -5 + 10e

Solving for variable 'e'.

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

Add '-10e' to each side of the equation.
45 + 3e + -10e = -5 + 10e + -10e

Combine like terms: 3e + -10e = -7e
45 + -7e = -5 + 10e + -10e

Combine like terms: 10e + -10e = 0
45 + -7e = -5 + 0
45 + -7e = -5

Add '-45' to each side of the equation.
45 + -45 + -7e = -5 + -45

Combine like terms: 45 + -45 = 0
0 + -7e = -5 + -45
-7e = -5 + -45

Combine like terms: -5 + -45 = -50
-7e = -50

Divide each side by '-7'.
e = 7.142857143

Simplifying
e = 7.142857143

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