0.3333(6x+3)=2x-5

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Solution for 0.3333(6x+3)=2x-5 equation: 


Simplifying
0.3333(6x + 3) = 2x + -5

Reorder the terms:
0.3333(3 + 6x) = 2x + -5
(3 * 0.3333 + 6x * 0.3333) = 2x + -5
(0.9999 + 1.9998x) = 2x + -5

Reorder the terms:
0.9999 + 1.9998x = -5 + 2x

Solving
0.9999 + 1.9998x = -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.
0.9999 + 1.9998x + -2x = -5 + 2x + -2x

Combine like terms: 1.9998x + -2x = -0.0002x
0.9999 + -0.0002x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
0.9999 + -0.0002x = -5 + 0
0.9999 + -0.0002x = -5

Add '-0.9999' to each side of the equation.
0.9999 + -0.9999 + -0.0002x = -5 + -0.9999

Combine like terms: 0.9999 + -0.9999 = 0.0000
0.0000 + -0.0002x = -5 + -0.9999
-0.0002x = -5 + -0.9999

Combine like terms: -5 + -0.9999 = -5.9999
-0.0002x = -5.9999

Divide each side by '-0.0002'.
x = 29999.5

Simplifying
x = 29999.5

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