0.333333(x+3)+0.1666666(x-6)=x+3

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Solution for 0.333333(x+3)+0.1666666(x-6)=x+3 equation: 


Simplifying
0.333333(x + 3) + 0.1666666(x + -6) = x + 3

Reorder the terms:
0.333333(3 + x) + 0.1666666(x + -6) = x + 3
(3 * 0.333333 + x * 0.333333) + 0.1666666(x + -6) = x + 3
(0.999999 + 0.333333x) + 0.1666666(x + -6) = x + 3

Reorder the terms:
0.999999 + 0.333333x + 0.1666666(-6 + x) = x + 3
0.999999 + 0.333333x + (-6 * 0.1666666 + x * 0.1666666) = x + 3
0.999999 + 0.333333x + (-0.9999996 + 0.1666666x) = x + 3

Reorder the terms:
0.999999 + -0.9999996 + 0.333333x + 0.1666666x = x + 3

Combine like terms: 0.999999 + -0.9999996 = -0.0000006
-0.0000006 + 0.333333x + 0.1666666x = x + 3

Combine like terms: 0.333333x + 0.1666666x = 0.4999996x
-0.0000006 + 0.4999996x = x + 3

Reorder the terms:
-0.0000006 + 0.4999996x = 3 + x

Solving
-0.0000006 + 0.4999996x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-0.0000006 + 0.4999996x + -1x = 3 + x + -1x

Combine like terms: 0.4999996x + -1x = -0.5000004x
-0.0000006 + -0.5000004x = 3 + x + -1x

Combine like terms: x + -1x = 0
-0.0000006 + -0.5000004x = 3 + 0
-0.0000006 + -0.5000004x = 3

Add '0.0000006' to each side of the equation.
-0.0000006 + 0.0000006 + -0.5000004x = 3 + 0.0000006

Combine like terms: -0.0000006 + 0.0000006 = 0.0000000
0.0000000 + -0.5000004x = 3 + 0.0000006
-0.5000004x = 3 + 0.0000006

Combine like terms: 3 + 0.0000006 = 3.0000006
-0.5000004x = 3.0000006

Divide each side by '-0.5000004'.
x = -5.9999964

Simplifying
x = -5.9999964

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