0.75(2-0.22x)-0.333(x-0.5)=0.5-0.333x

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Solution for 0.75(2-0.22x)-0.333(x-0.5)=0.5-0.333x equation: 


Simplifying
0.75(2 + -0.22x) + -0.333(x + -0.5) = 0.5 + -0.333x
(2 * 0.75 + -0.22x * 0.75) + -0.333(x + -0.5) = 0.5 + -0.333x
(1.5 + -0.165x) + -0.333(x + -0.5) = 0.5 + -0.333x

Reorder the terms:
1.5 + -0.165x + -0.333(-0.5 + x) = 0.5 + -0.333x
1.5 + -0.165x + (-0.5 * -0.333 + x * -0.333) = 0.5 + -0.333x
1.5 + -0.165x + (0.1665 + -0.333x) = 0.5 + -0.333x

Reorder the terms:
1.5 + 0.1665 + -0.165x + -0.333x = 0.5 + -0.333x

Combine like terms: 1.5 + 0.1665 = 1.6665
1.6665 + -0.165x + -0.333x = 0.5 + -0.333x

Combine like terms: -0.165x + -0.333x = -0.498x
1.6665 + -0.498x = 0.5 + -0.333x

Solving
1.6665 + -0.498x = 0.5 + -0.333x

Solving for variable 'x'.

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

Add '0.333x' to each side of the equation.
1.6665 + -0.498x + 0.333x = 0.5 + -0.333x + 0.333x

Combine like terms: -0.498x + 0.333x = -0.165x
1.6665 + -0.165x = 0.5 + -0.333x + 0.333x

Combine like terms: -0.333x + 0.333x = 0.000
1.6665 + -0.165x = 0.5 + 0.000
1.6665 + -0.165x = 0.5

Add '-1.6665' to each side of the equation.
1.6665 + -1.6665 + -0.165x = 0.5 + -1.6665

Combine like terms: 1.6665 + -1.6665 = 0.0000
0.0000 + -0.165x = 0.5 + -1.6665
-0.165x = 0.5 + -1.6665

Combine like terms: 0.5 + -1.6665 = -1.1665
-0.165x = -1.1665

Divide each side by '-0.165'.
x = 7.06969697

Simplifying
x = 7.06969697

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