.333333(5x+6)-.5(x+5)=3

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Solution for .333333(5x+6)-.5(x+5)=3 equation: 


Simplifying
0.333333(5x + 6) + -0.5(x + 5) = 3

Reorder the terms:
0.333333(6 + 5x) + -0.5(x + 5) = 3
(6 * 0.333333 + 5x * 0.333333) + -0.5(x + 5) = 3
(1.999998 + 1.666665x) + -0.5(x + 5) = 3

Reorder the terms:
1.999998 + 1.666665x + -0.5(5 + x) = 3
1.999998 + 1.666665x + (5 * -0.5 + x * -0.5) = 3
1.999998 + 1.666665x + (-2.5 + -0.5x) = 3

Reorder the terms:
1.999998 + -2.5 + 1.666665x + -0.5x = 3

Combine like terms: 1.999998 + -2.5 = -0.500002
-0.500002 + 1.666665x + -0.5x = 3

Combine like terms: 1.666665x + -0.5x = 1.166665x
-0.500002 + 1.166665x = 3

Solving
-0.500002 + 1.166665x = 3

Solving for variable 'x'.

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

Add '0.500002' to each side of the equation.
-0.500002 + 0.500002 + 1.166665x = 3 + 0.500002

Combine like terms: -0.500002 + 0.500002 = 0.000000
0.000000 + 1.166665x = 3 + 0.500002
1.166665x = 3 + 0.500002

Combine like terms: 3 + 0.500002 = 3.500002
1.166665x = 3.500002

Divide each side by '1.166665'.
x = 3.000006

Simplifying
x = 3.000006

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