.033333333(x+9)=.5(x-6)1

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Solution for .033333333(x+9)=.5(x-6)1 equation: 


Simplifying
0.033333333(x + 9) = 0.5(x + -6) * 1

Reorder the terms:
0.033333333(9 + x) = 0.5(x + -6) * 1
(9 * 0.033333333 + x * 0.033333333) = 0.5(x + -6) * 1
(0.299999997 + 0.033333333x) = 0.5(x + -6) * 1

Reorder the terms:
0.299999997 + 0.033333333x = 0.5(-6 + x) * 1

Reorder the terms for easier multiplication:
0.299999997 + 0.033333333x = 0.5 * 1(-6 + x)

Multiply 0.5 * 1
0.299999997 + 0.033333333x = 0.5(-6 + x)
0.299999997 + 0.033333333x = (-6 * 0.5 + x * 0.5)
0.299999997 + 0.033333333x = (-3 + 0.5x)

Solving
0.299999997 + 0.033333333x = -3 + 0.5x

Solving for variable 'x'.

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

Add '-0.5x' to each side of the equation.
0.299999997 + 0.033333333x + -0.5x = -3 + 0.5x + -0.5x

Combine like terms: 0.033333333x + -0.5x = -0.466666667x
0.299999997 + -0.466666667x = -3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
0.299999997 + -0.466666667x = -3 + 0.0
0.299999997 + -0.466666667x = -3

Add '-0.299999997' to each side of the equation.
0.299999997 + -0.299999997 + -0.466666667x = -3 + -0.299999997

Combine like terms: 0.299999997 + -0.299999997 = 0.000000000
0.000000000 + -0.466666667x = -3 + -0.299999997
-0.466666667x = -3 + -0.299999997

Combine like terms: -3 + -0.299999997 = -3.299999997
-0.466666667x = -3.299999997

Divide each side by '-0.466666667'.
x = 7.07142856

Simplifying
x = 7.07142856

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