0.666(x+8)=3x-6

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Solution for 0.666(x+8)=3x-6 equation: 


Simplifying
0.666(x + 8) = 3x + -6

Reorder the terms:
0.666(8 + x) = 3x + -6
(8 * 0.666 + x * 0.666) = 3x + -6
(5.328 + 0.666x) = 3x + -6

Reorder the terms:
5.328 + 0.666x = -6 + 3x

Solving
5.328 + 0.666x = -6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5.328 + 0.666x + -3x = -6 + 3x + -3x

Combine like terms: 0.666x + -3x = -2.334x
5.328 + -2.334x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0
5.328 + -2.334x = -6 + 0
5.328 + -2.334x = -6

Add '-5.328' to each side of the equation.
5.328 + -5.328 + -2.334x = -6 + -5.328

Combine like terms: 5.328 + -5.328 = 0.000
0.000 + -2.334x = -6 + -5.328
-2.334x = -6 + -5.328

Combine like terms: -6 + -5.328 = -11.328
-2.334x = -11.328

Divide each side by '-2.334'.
x = 4.853470437

Simplifying
x = 4.853470437

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