0.333(x+0.666)=0.166(x-4)

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Solution for 0.333(x+0.666)=0.166(x-4) equation: 


Simplifying
0.333(x + 0.666) = 0.166(x + -4)

Reorder the terms:
0.333(0.666 + x) = 0.166(x + -4)
(0.666 * 0.333 + x * 0.333) = 0.166(x + -4)
(0.221778 + 0.333x) = 0.166(x + -4)

Reorder the terms:
0.221778 + 0.333x = 0.166(-4 + x)
0.221778 + 0.333x = (-4 * 0.166 + x * 0.166)
0.221778 + 0.333x = (-0.664 + 0.166x)

Solving
0.221778 + 0.333x = -0.664 + 0.166x

Solving for variable 'x'.

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

Add '-0.166x' to each side of the equation.
0.221778 + 0.333x + -0.166x = -0.664 + 0.166x + -0.166x

Combine like terms: 0.333x + -0.166x = 0.167x
0.221778 + 0.167x = -0.664 + 0.166x + -0.166x

Combine like terms: 0.166x + -0.166x = 0.000
0.221778 + 0.167x = -0.664 + 0.000
0.221778 + 0.167x = -0.664

Add '-0.221778' to each side of the equation.
0.221778 + -0.221778 + 0.167x = -0.664 + -0.221778

Combine like terms: 0.221778 + -0.221778 = 0.000000
0.000000 + 0.167x = -0.664 + -0.221778
0.167x = -0.664 + -0.221778

Combine like terms: -0.664 + -0.221778 = -0.885778
0.167x = -0.885778

Divide each side by '0.167'.
x = -5.30405988

Simplifying
x = -5.30405988

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