-0.333333(x+9)+0.666667(x-6)=7

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Solution for -0.333333(x+9)+0.666667(x-6)=7 equation:


Simplifying
-0.333333(x + 9) + 0.666667(x + -6) = 7

Reorder the terms:
-0.333333(9 + x) + 0.666667(x + -6) = 7
(9 * -0.333333 + x * -0.333333) + 0.666667(x + -6) = 7
(-2.999997 + -0.333333x) + 0.666667(x + -6) = 7

Reorder the terms:
-2.999997 + -0.333333x + 0.666667(-6 + x) = 7
-2.999997 + -0.333333x + (-6 * 0.666667 + x * 0.666667) = 7
-2.999997 + -0.333333x + (-4.000002 + 0.666667x) = 7

Reorder the terms:
-2.999997 + -4.000002 + -0.333333x + 0.666667x = 7

Combine like terms: -2.999997 + -4.000002 = -6.999999
-6.999999 + -0.333333x + 0.666667x = 7

Combine like terms: -0.333333x + 0.666667x = 0.333334x
-6.999999 + 0.333334x = 7

Solving
-6.999999 + 0.333334x = 7

Solving for variable 'x'.

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

Add '6.999999' to each side of the equation.
-6.999999 + 6.999999 + 0.333334x = 7 + 6.999999

Combine like terms: -6.999999 + 6.999999 = 0.000000
0.000000 + 0.333334x = 7 + 6.999999
0.333334x = 7 + 6.999999

Combine like terms: 7 + 6.999999 = 13.999999
0.333334x = 13.999999

Divide each side by '0.333334'.
x = 41.999913

Simplifying
x = 41.999913

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