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

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


Simplifying
2(8 + -4x) = 0.3(33 + -18x) + 3
(8 * 2 + -4x * 2) = 0.3(33 + -18x) + 3
(16 + -8x) = 0.3(33 + -18x) + 3
16 + -8x = (33 * 0.3 + -18x * 0.3) + 3
16 + -8x = (9.9 + -5.4x) + 3

Reorder the terms:
16 + -8x = 9.9 + 3 + -5.4x

Combine like terms: 9.9 + 3 = 12.9
16 + -8x = 12.9 + -5.4x

Solving
16 + -8x = 12.9 + -5.4x

Solving for variable 'x'.

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

Add '5.4x' to each side of the equation.
16 + -8x + 5.4x = 12.9 + -5.4x + 5.4x

Combine like terms: -8x + 5.4x = -2.6x
16 + -2.6x = 12.9 + -5.4x + 5.4x

Combine like terms: -5.4x + 5.4x = 0.0
16 + -2.6x = 12.9 + 0.0
16 + -2.6x = 12.9

Add '-16' to each side of the equation.
16 + -16 + -2.6x = 12.9 + -16

Combine like terms: 16 + -16 = 0
0 + -2.6x = 12.9 + -16
-2.6x = 12.9 + -16

Combine like terms: 12.9 + -16 = -3.1
-2.6x = -3.1

Divide each side by '-2.6'.
x = 1.192307692

Simplifying
x = 1.192307692

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