0.333(6x+3)=2x-5

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Solution for 0.333(6x+3)=2x-5 equation: 


Simplifying
0.333(6x + 3) = 2x + -5

Reorder the terms:
0.333(3 + 6x) = 2x + -5
(3 * 0.333 + 6x * 0.333) = 2x + -5
(0.999 + 1.998x) = 2x + -5

Reorder the terms:
0.999 + 1.998x = -5 + 2x

Solving
0.999 + 1.998x = -5 + 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.
0.999 + 1.998x + -2x = -5 + 2x + -2x

Combine like terms: 1.998x + -2x = -0.002x
0.999 + -0.002x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.999 + -0.002x = -5 + 0
0.999 + -0.002x = -5

Add '-0.999' to each side of the equation.
0.999 + -0.999 + -0.002x = -5 + -0.999

Combine like terms: 0.999 + -0.999 = 0.000
0.000 + -0.002x = -5 + -0.999
-0.002x = -5 + -0.999

Combine like terms: -5 + -0.999 = -5.999
-0.002x = -5.999

Divide each side by '-0.002'.
x = 2999.5

Simplifying
x = 2999.5

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