x*90+(330-x)*175=39560

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Solution for x*90+(330-x)*175=39560 equation:


Simplifying
x * 90 + (330 + -1x) * 175 = 39560

Reorder the terms for easier multiplication:
90x + (330 + -1x) * 175 = 39560

Reorder the terms for easier multiplication:
90x + 175(330 + -1x) = 39560
90x + (330 * 175 + -1x * 175) = 39560
90x + (57750 + -175x) = 39560

Reorder the terms:
57750 + 90x + -175x = 39560

Combine like terms: 90x + -175x = -85x
57750 + -85x = 39560

Solving
57750 + -85x = 39560

Solving for variable 'x'.

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

Add '-57750' to each side of the equation.
57750 + -57750 + -85x = 39560 + -57750

Combine like terms: 57750 + -57750 = 0
0 + -85x = 39560 + -57750
-85x = 39560 + -57750

Combine like terms: 39560 + -57750 = -18190
-85x = -18190

Divide each side by '-85'.
x = 214

Simplifying
x = 214

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