.33(5-4e)=.5(9-4e)

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Solution for .33(5-4e)=.5(9-4e) equation: 


Simplifying
0.33(5 + -4e) = 0.5(9 + -4e)
(5 * 0.33 + -4e * 0.33) = 0.5(9 + -4e)
(1.65 + -1.32e) = 0.5(9 + -4e)
1.65 + -1.32e = (9 * 0.5 + -4e * 0.5)
1.65 + -1.32e = (4.5 + -2e)

Solving
1.65 + -1.32e = 4.5 + -2e

Solving for variable 'e'.

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

Add '2e' to each side of the equation.
1.65 + -1.32e + 2e = 4.5 + -2e + 2e

Combine like terms: -1.32e + 2e = 0.68e
1.65 + 0.68e = 4.5 + -2e + 2e

Combine like terms: -2e + 2e = 0
1.65 + 0.68e = 4.5 + 0
1.65 + 0.68e = 4.5

Add '-1.65' to each side of the equation.
1.65 + -1.65 + 0.68e = 4.5 + -1.65

Combine like terms: 1.65 + -1.65 = 0.00
0.00 + 0.68e = 4.5 + -1.65
0.68e = 4.5 + -1.65

Combine like terms: 4.5 + -1.65 = 2.85
0.68e = 2.85

Divide each side by '0.68'.
e = 4.191176471

Simplifying
e = 4.191176471

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