.5(3-2x)=1-.33x

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Solution for .5(3-2x)=1-.33x equation: 


Simplifying
0.5(3 + -2x) = 1 + -0.33x
(3 * 0.5 + -2x * 0.5) = 1 + -0.33x
(1.5 + -1x) = 1 + -0.33x

Solving
1.5 + -1x = 1 + -0.33x

Solving for variable 'x'.

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

Add '0.33x' to each side of the equation.
1.5 + -1x + 0.33x = 1 + -0.33x + 0.33x

Combine like terms: -1x + 0.33x = -0.67x
1.5 + -0.67x = 1 + -0.33x + 0.33x

Combine like terms: -0.33x + 0.33x = 0.00
1.5 + -0.67x = 1 + 0.00
1.5 + -0.67x = 1

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.67x = 1 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.67x = 1 + -1.5
-0.67x = 1 + -1.5

Combine like terms: 1 + -1.5 = -0.5
-0.67x = -0.5

Divide each side by '-0.67'.
x = 0.7462686567

Simplifying
x = 0.7462686567

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