.5(5.5x-10)+7.25=82

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Solution for .5(5.5x-10)+7.25=82 equation: 


Simplifying
0.5(5.5x + -10) + 7.25 = 82

Reorder the terms:
0.5(-10 + 5.5x) + 7.25 = 82
(-10 * 0.5 + 5.5x * 0.5) + 7.25 = 82
(-5 + 2.75x) + 7.25 = 82

Reorder the terms:
-5 + 7.25 + 2.75x = 82

Combine like terms: -5 + 7.25 = 2.25
2.25 + 2.75x = 82

Solving
2.25 + 2.75x = 82

Solving for variable 'x'.

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + 2.75x = 82 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 2.75x = 82 + -2.25
2.75x = 82 + -2.25

Combine like terms: 82 + -2.25 = 79.75
2.75x = 79.75

Divide each side by '2.75'.
x = 29

Simplifying
x = 29

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