(.5(27-x)(15))+((x)(15))=550

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Solution for (.5(27-x)(15))+((x)(15))=550 equation: 


Simplifying
(0.5(27 + -1x)(15)) + ((x)(15)) = 550

Reorder the terms for easier multiplication:
(0.5 * 15(27 + -1x)) + ((x)(15)) = 550

Multiply 0.5 * 15
(7.5(27 + -1x)) + ((x)(15)) = 550
((27 * 7.5 + -1x * 7.5)) + ((x)(15)) = 550
((202.5 + -7.5x)) + ((x)(15)) = 550
(202.5 + -7.5x) + ((x)(15)) = 550

Remove parenthesis around (202.5 + -7.5x)
202.5 + -7.5x + ((x)(15)) = 550

Reorder the terms for easier multiplication:
202.5 + -7.5x + (15x) = 550

Combine like terms: -7.5x + (15x) = 7.5x
202.5 + 7.5x = 550

Solving
202.5 + 7.5x = 550

Solving for variable 'x'.

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

Add '-202.5' to each side of the equation.
202.5 + -202.5 + 7.5x = 550 + -202.5

Combine like terms: 202.5 + -202.5 = 0.0
0.0 + 7.5x = 550 + -202.5
7.5x = 550 + -202.5

Combine like terms: 550 + -202.5 = 347.5
7.5x = 347.5

Divide each side by '7.5'.
x = 46.33333333

Simplifying
x = 46.33333333

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