.333(6x-9)=2x-3

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Solution for .333(6x-9)=2x-3 equation: 


Simplifying
0.333(6x + -9) = 2x + -3

Reorder the terms:
0.333(-9 + 6x) = 2x + -3
(-9 * 0.333 + 6x * 0.333) = 2x + -3
(-2.997 + 1.998x) = 2x + -3

Reorder the terms:
-2.997 + 1.998x = -3 + 2x

Solving
-2.997 + 1.998x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-2.997 + 1.998x + -2x = -3 + 2x + -2x

Combine like terms: 1.998x + -2x = -0.002x
-2.997 + -0.002x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-2.997 + -0.002x = -3 + 0
-2.997 + -0.002x = -3

Add '2.997' to each side of the equation.
-2.997 + 2.997 + -0.002x = -3 + 2.997

Combine like terms: -2.997 + 2.997 = 0.000
0.000 + -0.002x = -3 + 2.997
-0.002x = -3 + 2.997

Combine like terms: -3 + 2.997 = -0.003
-0.002x = -0.003

Divide each side by '-0.002'.
x = 1.5

Simplifying
x = 1.5

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