0.667(6x-3)=0.5(6x-4)

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Solution for 0.667(6x-3)=0.5(6x-4) equation: 


Simplifying
0.667(6x + -3) = 0.5(6x + -4)

Reorder the terms:
0.667(-3 + 6x) = 0.5(6x + -4)
(-3 * 0.667 + 6x * 0.667) = 0.5(6x + -4)
(-2.001 + 4.002x) = 0.5(6x + -4)

Reorder the terms:
-2.001 + 4.002x = 0.5(-4 + 6x)
-2.001 + 4.002x = (-4 * 0.5 + 6x * 0.5)
-2.001 + 4.002x = (-2 + 3x)

Solving
-2.001 + 4.002x = -2 + 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.
-2.001 + 4.002x + -3x = -2 + 3x + -3x

Combine like terms: 4.002x + -3x = 1.002x
-2.001 + 1.002x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-2.001 + 1.002x = -2 + 0
-2.001 + 1.002x = -2

Add '2.001' to each side of the equation.
-2.001 + 2.001 + 1.002x = -2 + 2.001

Combine like terms: -2.001 + 2.001 = 0.000
0.000 + 1.002x = -2 + 2.001
1.002x = -2 + 2.001

Combine like terms: -2 + 2.001 = 0.001
1.002x = 0.001

Divide each side by '1.002'.
x = 0.000998003992

Simplifying
x = 0.000998003992

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