0.666667(6x+3)=4x+2

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Solution for 0.666667(6x+3)=4x+2 equation: 


Simplifying
0.666667(6x + 3) = 4x + 2

Reorder the terms:
0.666667(3 + 6x) = 4x + 2
(3 * 0.666667 + 6x * 0.666667) = 4x + 2
(2.000001 + 4.000002x) = 4x + 2

Reorder the terms:
2.000001 + 4.000002x = 2 + 4x

Solving
2.000001 + 4.000002x = 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.
2.000001 + 4.000002x + -4x = 2 + 4x + -4x

Combine like terms: 4.000002x + -4x = 0.000002x
2.000001 + 0.000002x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
2.000001 + 0.000002x = 2 + 0
2.000001 + 0.000002x = 2

Add '-2.000001' to each side of the equation.
2.000001 + -2.000001 + 0.000002x = 2 + -2.000001

Combine like terms: 2.000001 + -2.000001 = 0.000000
0.000000 + 0.000002x = 2 + -2.000001
0.000002x = 2 + -2.000001

Combine like terms: 2 + -2.000001 = -0.000001
0.000002x = -0.000001

Divide each side by '0.000002'.
x = -0.5

Simplifying
x = -0.5

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