x-(0.33x+0.5)=10

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Solution for x-(0.33x+0.5)=10 equation:


Simplifying
x + -1(0.33x + 0.5) = 10

Reorder the terms:
x + -1(0.5 + 0.33x) = 10
x + (0.5 * -1 + 0.33x * -1) = 10
x + (-0.5 + -0.33x) = 10

Reorder the terms:
-0.5 + x + -0.33x = 10

Combine like terms: x + -0.33x = 0.67x
-0.5 + 0.67x = 10

Solving
-0.5 + 0.67x = 10

Solving for variable 'x'.

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

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 0.67x = 10 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 0.67x = 10 + 0.5
0.67x = 10 + 0.5

Combine like terms: 10 + 0.5 = 10.5
0.67x = 10.5

Divide each side by '0.67'.
x = 15.67164179

Simplifying
x = 15.67164179

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