2(8-4x)=.6(33-18x)+3

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Solution for 2(8-4x)=.6(33-18x)+3 equation: 


Simplifying
2(8 + -4x) = 0.6(33 + -18x) + 3
(8 * 2 + -4x * 2) = 0.6(33 + -18x) + 3
(16 + -8x) = 0.6(33 + -18x) + 3
16 + -8x = (33 * 0.6 + -18x * 0.6) + 3
16 + -8x = (19.8 + -10.8x) + 3

Reorder the terms:
16 + -8x = 19.8 + 3 + -10.8x

Combine like terms: 19.8 + 3 = 22.8
16 + -8x = 22.8 + -10.8x

Solving
16 + -8x = 22.8 + -10.8x

Solving for variable 'x'.

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

Add '10.8x' to each side of the equation.
16 + -8x + 10.8x = 22.8 + -10.8x + 10.8x

Combine like terms: -8x + 10.8x = 2.8x
16 + 2.8x = 22.8 + -10.8x + 10.8x

Combine like terms: -10.8x + 10.8x = 0.0
16 + 2.8x = 22.8 + 0.0
16 + 2.8x = 22.8

Add '-16' to each side of the equation.
16 + -16 + 2.8x = 22.8 + -16

Combine like terms: 16 + -16 = 0
0 + 2.8x = 22.8 + -16
2.8x = 22.8 + -16

Combine like terms: 22.8 + -16 = 6.8
2.8x = 6.8

Divide each side by '2.8'.
x = 2.428571429

Simplifying
x = 2.428571429

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