0.5x+0.25(30-x)=33

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Solution for 0.5x+0.25(30-x)=33 equation: 


Simplifying
0.5x + 0.25(30 + -1x) = 33
0.5x + (30 * 0.25 + -1x * 0.25) = 33
0.5x + (7.5 + -0.25x) = 33

Reorder the terms:
7.5 + 0.5x + -0.25x = 33

Combine like terms: 0.5x + -0.25x = 0.25x
7.5 + 0.25x = 33

Solving
7.5 + 0.25x = 33

Solving for variable 'x'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + 0.25x = 33 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + 0.25x = 33 + -7.5
0.25x = 33 + -7.5

Combine like terms: 33 + -7.5 = 25.5
0.25x = 25.5

Divide each side by '0.25'.
x = 102

Simplifying
x = 102

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