2(8-4x)=.33(33-18x)+3

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Solution for 2(8-4x)=.33(33-18x)+3 equation: 


Simplifying
2(8 + -4x) = 0.33(33 + -18x) + 3
(8 * 2 + -4x * 2) = 0.33(33 + -18x) + 3
(16 + -8x) = 0.33(33 + -18x) + 3
16 + -8x = (33 * 0.33 + -18x * 0.33) + 3
16 + -8x = (10.89 + -5.94x) + 3

Reorder the terms:
16 + -8x = 10.89 + 3 + -5.94x

Combine like terms: 10.89 + 3 = 13.89
16 + -8x = 13.89 + -5.94x

Solving
16 + -8x = 13.89 + -5.94x

Solving for variable 'x'.

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

Add '5.94x' to each side of the equation.
16 + -8x + 5.94x = 13.89 + -5.94x + 5.94x

Combine like terms: -8x + 5.94x = -2.06x
16 + -2.06x = 13.89 + -5.94x + 5.94x

Combine like terms: -5.94x + 5.94x = 0.00
16 + -2.06x = 13.89 + 0.00
16 + -2.06x = 13.89

Add '-16' to each side of the equation.
16 + -16 + -2.06x = 13.89 + -16

Combine like terms: 16 + -16 = 0
0 + -2.06x = 13.89 + -16
-2.06x = 13.89 + -16

Combine like terms: 13.89 + -16 = -2.11
-2.06x = -2.11

Divide each side by '-2.06'.
x = 1.024271845

Simplifying
x = 1.024271845

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