0.667(3x-9)=4(x+6)

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Solution for 0.667(3x-9)=4(x+6) equation: 


Simplifying
0.667(3x + -9) = 4(x + 6)

Reorder the terms:
0.667(-9 + 3x) = 4(x + 6)
(-9 * 0.667 + 3x * 0.667) = 4(x + 6)
(-6.003 + 2.001x) = 4(x + 6)

Reorder the terms:
-6.003 + 2.001x = 4(6 + x)
-6.003 + 2.001x = (6 * 4 + x * 4)
-6.003 + 2.001x = (24 + 4x)

Solving
-6.003 + 2.001x = 24 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-6.003 + 2.001x + -4x = 24 + 4x + -4x

Combine like terms: 2.001x + -4x = -1.999x
-6.003 + -1.999x = 24 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6.003 + -1.999x = 24 + 0
-6.003 + -1.999x = 24

Add '6.003' to each side of the equation.
-6.003 + 6.003 + -1.999x = 24 + 6.003

Combine like terms: -6.003 + 6.003 = 0.000
0.000 + -1.999x = 24 + 6.003
-1.999x = 24 + 6.003

Combine like terms: 24 + 6.003 = 30.003
-1.999x = 30.003

Divide each side by '-1.999'.
x = -15.0090045

Simplifying
x = -15.0090045

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