0.333333(6x-9)=6+2x-9

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Solution for 0.333333(6x-9)=6+2x-9 equation: 


Simplifying
0.333333(6x + -9) = 6 + 2x + -9

Reorder the terms:
0.333333(-9 + 6x) = 6 + 2x + -9
(-9 * 0.333333 + 6x * 0.333333) = 6 + 2x + -9
(-2.999997 + 1.999998x) = 6 + 2x + -9

Reorder the terms:
-2.999997 + 1.999998x = 6 + -9 + 2x

Combine like terms: 6 + -9 = -3
-2.999997 + 1.999998x = -3 + 2x

Solving
-2.999997 + 1.999998x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2.999997 + 1.999998x + -2x = -3 + 2x + -2x

Combine like terms: 1.999998x + -2x = -0.000002x
-2.999997 + -0.000002x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2.999997 + -0.000002x = -3 + 0
-2.999997 + -0.000002x = -3

Add '2.999997' to each side of the equation.
-2.999997 + 2.999997 + -0.000002x = -3 + 2.999997

Combine like terms: -2.999997 + 2.999997 = 0.000000
0.000000 + -0.000002x = -3 + 2.999997
-0.000002x = -3 + 2.999997

Combine like terms: -3 + 2.999997 = -0.000003
-0.000002x = -0.000003

Divide each side by '-0.000002'.
x = 1.5

Simplifying
x = 1.5

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