.16667(x-5)=.5(x+6)

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Solution for .16667(x-5)=.5(x+6) equation: 


Simplifying
0.16667(x + -5) = 0.5(x + 6)

Reorder the terms:
0.16667(-5 + x) = 0.5(x + 6)
(-5 * 0.16667 + x * 0.16667) = 0.5(x + 6)
(-0.83335 + 0.16667x) = 0.5(x + 6)

Reorder the terms:
-0.83335 + 0.16667x = 0.5(6 + x)
-0.83335 + 0.16667x = (6 * 0.5 + x * 0.5)
-0.83335 + 0.16667x = (3 + 0.5x)

Solving
-0.83335 + 0.16667x = 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.
-0.83335 + 0.16667x + -0.5x = 3 + 0.5x + -0.5x

Combine like terms: 0.16667x + -0.5x = -0.33333x
-0.83335 + -0.33333x = 3 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
-0.83335 + -0.33333x = 3 + 0.0
-0.83335 + -0.33333x = 3

Add '0.83335' to each side of the equation.
-0.83335 + 0.83335 + -0.33333x = 3 + 0.83335

Combine like terms: -0.83335 + 0.83335 = 0.00000
0.00000 + -0.33333x = 3 + 0.83335
-0.33333x = 3 + 0.83335

Combine like terms: 3 + 0.83335 = 3.83335
-0.33333x = 3.83335

Divide each side by '-0.33333'.
x = -11.500165

Simplifying
x = -11.500165

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