0.5(-4+6x)=0.333x+0.666(x+9)

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Solution for 0.5(-4+6x)=0.333x+0.666(x+9) equation:


Simplifying
0.5(-4 + 6x) = 0.333x + 0.666(x + 9)
(-4 * 0.5 + 6x * 0.5) = 0.333x + 0.666(x + 9)
(-2 + 3x) = 0.333x + 0.666(x + 9)

Reorder the terms:
-2 + 3x = 0.333x + 0.666(9 + x)
-2 + 3x = 0.333x + (9 * 0.666 + x * 0.666)
-2 + 3x = 0.333x + (5.994 + 0.666x)

Reorder the terms:
-2 + 3x = 5.994 + 0.333x + 0.666x

Combine like terms: 0.333x + 0.666x = 0.999x
-2 + 3x = 5.994 + 0.999x

Solving
-2 + 3x = 5.994 + 0.999x

Solving for variable 'x'.

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

Add '-0.999x' to each side of the equation.
-2 + 3x + -0.999x = 5.994 + 0.999x + -0.999x

Combine like terms: 3x + -0.999x = 2.001x
-2 + 2.001x = 5.994 + 0.999x + -0.999x

Combine like terms: 0.999x + -0.999x = 0.000
-2 + 2.001x = 5.994 + 0.000
-2 + 2.001x = 5.994

Add '2' to each side of the equation.
-2 + 2 + 2.001x = 5.994 + 2

Combine like terms: -2 + 2 = 0
0 + 2.001x = 5.994 + 2
2.001x = 5.994 + 2

Combine like terms: 5.994 + 2 = 7.994
2.001x = 7.994

Divide each side by '2.001'.
x = 3.995002499

Simplifying
x = 3.995002499

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