6+.33(x-9)=.5(2-x)

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Solution for 6+.33(x-9)=.5(2-x) equation: 


Simplifying
6 + 0.33(x + -9) = 0.5(2 + -1x)

Reorder the terms:
6 + 0.33(-9 + x) = 0.5(2 + -1x)
6 + (-9 * 0.33 + x * 0.33) = 0.5(2 + -1x)
6 + (-2.97 + 0.33x) = 0.5(2 + -1x)

Combine like terms: 6 + -2.97 = 3.03
3.03 + 0.33x = 0.5(2 + -1x)
3.03 + 0.33x = (2 * 0.5 + -1x * 0.5)
3.03 + 0.33x = (1 + -0.5x)

Solving
3.03 + 0.33x = 1 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
3.03 + 0.33x + 0.5x = 1 + -0.5x + 0.5x

Combine like terms: 0.33x + 0.5x = 0.83x
3.03 + 0.83x = 1 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
3.03 + 0.83x = 1 + 0.0
3.03 + 0.83x = 1

Add '-3.03' to each side of the equation.
3.03 + -3.03 + 0.83x = 1 + -3.03

Combine like terms: 3.03 + -3.03 = 0.00
0.00 + 0.83x = 1 + -3.03
0.83x = 1 + -3.03

Combine like terms: 1 + -3.03 = -2.03
0.83x = -2.03

Divide each side by '0.83'.
x = -2.445783133

Simplifying
x = -2.445783133

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