.33(8-x)=14-1.66(2x-4)

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Solution for .33(8-x)=14-1.66(2x-4) equation: 


Simplifying
0.33(8 + -1x) = 14 + -1.66(2x + -4)
(8 * 0.33 + -1x * 0.33) = 14 + -1.66(2x + -4)
(2.64 + -0.33x) = 14 + -1.66(2x + -4)

Reorder the terms:
2.64 + -0.33x = 14 + -1.66(-4 + 2x)
2.64 + -0.33x = 14 + (-4 * -1.66 + 2x * -1.66)
2.64 + -0.33x = 14 + (6.64 + -3.32x)

Combine like terms: 14 + 6.64 = 20.64
2.64 + -0.33x = 20.64 + -3.32x

Solving
2.64 + -0.33x = 20.64 + -3.32x

Solving for variable 'x'.

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

Add '3.32x' to each side of the equation.
2.64 + -0.33x + 3.32x = 20.64 + -3.32x + 3.32x

Combine like terms: -0.33x + 3.32x = 2.99x
2.64 + 2.99x = 20.64 + -3.32x + 3.32x

Combine like terms: -3.32x + 3.32x = 0.00
2.64 + 2.99x = 20.64 + 0.00
2.64 + 2.99x = 20.64

Add '-2.64' to each side of the equation.
2.64 + -2.64 + 2.99x = 20.64 + -2.64

Combine like terms: 2.64 + -2.64 = 0.00
0.00 + 2.99x = 20.64 + -2.64
2.99x = 20.64 + -2.64

Combine like terms: 20.64 + -2.64 = 18
2.99x = 18

Divide each side by '2.99'.
x = 6.02006689

Simplifying
x = 6.02006689

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