0.3333333333(x+3)-2(x-1)=-12

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Solution for 0.3333333333(x+3)-2(x-1)=-12 equation: 


Simplifying
0.3333333333(x + 3) + -2(x + -1) = -12

Reorder the terms:
0.3333333333(3 + x) + -2(x + -1) = -12
(3 * 0.3333333333 + x * 0.3333333333) + -2(x + -1) = -12
(0.9999999999 + 0.3333333333x) + -2(x + -1) = -12

Reorder the terms:
0.9999999999 + 0.3333333333x + -2(-1 + x) = -12
0.9999999999 + 0.3333333333x + (-1 * -2 + x * -2) = -12
0.9999999999 + 0.3333333333x + (2 + -2x) = -12

Reorder the terms:
0.9999999999 + 2 + 0.3333333333x + -2x = -12

Combine like terms: 0.9999999999 + 2 = 2.9999999999
2.9999999999 + 0.3333333333x + -2x = -12

Combine like terms: 0.3333333333x + -2x = -1.6666666667x
2.9999999999 + -1.6666666667x = -12

Solving
2.9999999999 + -1.6666666667x = -12

Solving for variable 'x'.

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

Add '-2.9999999999' to each side of the equation.
2.9999999999 + -2.9999999999 + -1.6666666667x = -12 + -2.9999999999

Combine like terms: 2.9999999999 + -2.9999999999 = 0.0000000000
0.0000000000 + -1.6666666667x = -12 + -2.9999999999
-1.6666666667x = -12 + -2.9999999999

Combine like terms: -12 + -2.9999999999 = -14.9999999999
-1.6666666667x = -14.9999999999

Divide each side by '-1.6666666667'.
x = 9

Simplifying
x = 9

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