0.5(3-2x)=0.333333333(3-x)

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Solution for 0.5(3-2x)=0.333333333(3-x) equation:


Simplifying
0.5(3 + -2x) = 0.333333333(3 + -1x)
(3 * 0.5 + -2x * 0.5) = 0.333333333(3 + -1x)
(1.5 + -1x) = 0.333333333(3 + -1x)
1.5 + -1x = (3 * 0.333333333 + -1x * 0.333333333)
1.5 + -1x = (0.999999999 + -0.333333333x)

Solving
1.5 + -1x = 0.999999999 + -0.333333333x

Solving for variable 'x'.

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

Add '0.333333333x' to each side of the equation.
1.5 + -1x + 0.333333333x = 0.999999999 + -0.333333333x + 0.333333333x

Combine like terms: -1x + 0.333333333x = -0.666666667x
1.5 + -0.666666667x = 0.999999999 + -0.333333333x + 0.333333333x

Combine like terms: -0.333333333x + 0.333333333x = 0.000000000
1.5 + -0.666666667x = 0.999999999 + 0.000000000
1.5 + -0.666666667x = 0.999999999

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.666666667x = 0.999999999 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.666666667x = 0.999999999 + -1.5
-0.666666667x = 0.999999999 + -1.5

Combine like terms: 0.999999999 + -1.5 = -0.500000001
-0.666666667x = -0.500000001

Divide each side by '-0.666666667'.
x = 0.7500000011

Simplifying
x = 0.7500000011

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