0.5x-0.33(x-2)=3x

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Solution for 0.5x-0.33(x-2)=3x equation: 


Simplifying
0.5x + -0.33(x + -2) = 3x

Reorder the terms:
0.5x + -0.33(-2 + x) = 3x
0.5x + (-2 * -0.33 + x * -0.33) = 3x
0.5x + (0.66 + -0.33x) = 3x

Reorder the terms:
0.66 + 0.5x + -0.33x = 3x

Combine like terms: 0.5x + -0.33x = 0.17x
0.66 + 0.17x = 3x

Solving
0.66 + 0.17x = 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.
0.66 + 0.17x + -3x = 3x + -3x

Combine like terms: 0.17x + -3x = -2.83x
0.66 + -2.83x = 3x + -3x

Combine like terms: 3x + -3x = 0
0.66 + -2.83x = 0

Add '-0.66' to each side of the equation.
0.66 + -0.66 + -2.83x = 0 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + -2.83x = 0 + -0.66
-2.83x = 0 + -0.66

Combine like terms: 0 + -0.66 = -0.66
-2.83x = -0.66

Divide each side by '-2.83'.
x = 0.2332155477

Simplifying
x = 0.2332155477

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