.333(9x+3)=3x+1

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Solution for .333(9x+3)=3x+1 equation: 


Simplifying
0.333(9x + 3) = 3x + 1

Reorder the terms:
0.333(3 + 9x) = 3x + 1
(3 * 0.333 + 9x * 0.333) = 3x + 1
(0.999 + 2.997x) = 3x + 1

Reorder the terms:
0.999 + 2.997x = 1 + 3x

Solving
0.999 + 2.997x = 1 + 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.
0.999 + 2.997x + -3x = 1 + 3x + -3x

Combine like terms: 2.997x + -3x = -0.003x
0.999 + -0.003x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
0.999 + -0.003x = 1 + 0
0.999 + -0.003x = 1

Add '-0.999' to each side of the equation.
0.999 + -0.999 + -0.003x = 1 + -0.999

Combine like terms: 0.999 + -0.999 = 0.000
0.000 + -0.003x = 1 + -0.999
-0.003x = 1 + -0.999

Combine like terms: 1 + -0.999 = 0.001
-0.003x = 0.001

Divide each side by '-0.003'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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