10(512-C)=C*15

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Solution for 10(512-C)=C*15 equation:


Simplifying
10(512 + -1C) = C * 15
(512 * 10 + -1C * 10) = C * 15
(5120 + -10C) = C * 15

Reorder the terms for easier multiplication:
5120 + -10C = 15C

Solving
5120 + -10C = 15C

Solving for variable 'C'.

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

Add '-15C' to each side of the equation.
5120 + -10C + -15C = 15C + -15C

Combine like terms: -10C + -15C = -25C
5120 + -25C = 15C + -15C

Combine like terms: 15C + -15C = 0
5120 + -25C = 0

Add '-5120' to each side of the equation.
5120 + -5120 + -25C = 0 + -5120

Combine like terms: 5120 + -5120 = 0
0 + -25C = 0 + -5120
-25C = 0 + -5120

Combine like terms: 0 + -5120 = -5120
-25C = -5120

Divide each side by '-25'.
C = 204.8

Simplifying
C = 204.8

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