(A*100+B*10+C)-(C*100+B*10+A)=190+A

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Solution for (A*100+B*10+C)-(C*100+B*10+A)=190+A equation:


Simplifying
(A * 100 + B * 10 + C) + -1(C * 100 + B * 10 + A) = 190 + A

Reorder the terms for easier multiplication:
(100A + B * 10 + C) + -1(C * 100 + B * 10 + A) = 190 + A

Reorder the terms for easier multiplication:
(100A + 10B + C) + -1(C * 100 + B * 10 + A) = 190 + A

Remove parenthesis around (100A + 10B + C)
100A + 10B + C + -1(C * 100 + B * 10 + A) = 190 + A

Reorder the terms for easier multiplication:
100A + 10B + C + -1(100C + B * 10 + A) = 190 + A

Reorder the terms for easier multiplication:
100A + 10B + C + -1(100C + 10B + A) = 190 + A

Reorder the terms:
100A + 10B + C + -1(A + 10B + 100C) = 190 + A
100A + 10B + C + (A * -1 + 10B * -1 + 100C * -1) = 190 + A
100A + 10B + C + (-1A + -10B + -100C) = 190 + A

Reorder the terms:
100A + -1A + 10B + -10B + C + -100C = 190 + A

Combine like terms: 100A + -1A = 99A
99A + 10B + -10B + C + -100C = 190 + A

Combine like terms: 10B + -10B = 0
99A + 0 + C + -100C = 190 + A
99A + C + -100C = 190 + A

Combine like terms: C + -100C = -99C
99A + -99C = 190 + A

Solving
99A + -99C = 190 + A

Solving for variable 'A'.

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

Add '-1A' to each side of the equation.
99A + -1A + -99C = 190 + A + -1A

Combine like terms: 99A + -1A = 98A
98A + -99C = 190 + A + -1A

Combine like terms: A + -1A = 0
98A + -99C = 190 + 0
98A + -99C = 190

Add '99C' to each side of the equation.
98A + -99C + 99C = 190 + 99C

Combine like terms: -99C + 99C = 0
98A + 0 = 190 + 99C
98A = 190 + 99C

Divide each side by '98'.
A = 1.93877551 + 1.010204082C

Simplifying
A = 1.93877551 + 1.010204082C

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