.666(6x+3)=4x+2

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Solution for .666(6x+3)=4x+2 equation: 


Simplifying
0.666(6x + 3) = 4x + 2

Reorder the terms:
0.666(3 + 6x) = 4x + 2
(3 * 0.666 + 6x * 0.666) = 4x + 2
(1.998 + 3.996x) = 4x + 2

Reorder the terms:
1.998 + 3.996x = 2 + 4x

Solving
1.998 + 3.996x = 2 + 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.
1.998 + 3.996x + -4x = 2 + 4x + -4x

Combine like terms: 3.996x + -4x = -0.004x
1.998 + -0.004x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
1.998 + -0.004x = 2 + 0
1.998 + -0.004x = 2

Add '-1.998' to each side of the equation.
1.998 + -1.998 + -0.004x = 2 + -1.998

Combine like terms: 1.998 + -1.998 = 0.000
0.000 + -0.004x = 2 + -1.998
-0.004x = 2 + -1.998

Combine like terms: 2 + -1.998 = 0.002
-0.004x = 0.002

Divide each side by '-0.004'.
x = -0.5

Simplifying
x = -0.5

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