-0.166667(x-12)+0.333333(x+3)=x-12

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Solution for -0.166667(x-12)+0.333333(x+3)=x-12 equation:


Simplifying
-0.166667(x + -12) + 0.333333(x + 3) = x + -12

Reorder the terms:
-0.166667(-12 + x) + 0.333333(x + 3) = x + -12
(-12 * -0.166667 + x * -0.166667) + 0.333333(x + 3) = x + -12
(2.000004 + -0.166667x) + 0.333333(x + 3) = x + -12

Reorder the terms:
2.000004 + -0.166667x + 0.333333(3 + x) = x + -12
2.000004 + -0.166667x + (3 * 0.333333 + x * 0.333333) = x + -12
2.000004 + -0.166667x + (0.999999 + 0.333333x) = x + -12

Reorder the terms:
2.000004 + 0.999999 + -0.166667x + 0.333333x = x + -12

Combine like terms: 2.000004 + 0.999999 = 3.000003
3.000003 + -0.166667x + 0.333333x = x + -12

Combine like terms: -0.166667x + 0.333333x = 0.166666x
3.000003 + 0.166666x = x + -12

Reorder the terms:
3.000003 + 0.166666x = -12 + x

Solving
3.000003 + 0.166666x = -12 + 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.
3.000003 + 0.166666x + -1x = -12 + x + -1x

Combine like terms: 0.166666x + -1x = -0.833334x
3.000003 + -0.833334x = -12 + x + -1x

Combine like terms: x + -1x = 0
3.000003 + -0.833334x = -12 + 0
3.000003 + -0.833334x = -12

Add '-3.000003' to each side of the equation.
3.000003 + -3.000003 + -0.833334x = -12 + -3.000003

Combine like terms: 3.000003 + -3.000003 = 0.000000
0.000000 + -0.833334x = -12 + -3.000003
-0.833334x = -12 + -3.000003

Combine like terms: -12 + -3.000003 = -15.000003
-0.833334x = -15.000003

Divide each side by '-0.833334'.
x = 17.9999892

Simplifying
x = 17.9999892

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