2x(5-3x)+3(x+4)=Ax+Bx-C

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Solution for 2x(5-3x)+3(x+4)=Ax+Bx-C equation: 


Simplifying
2x(5 + -3x) + 3(x + 4) = Ax + Bx + -1C
(5 * 2x + -3x * 2x) + 3(x + 4) = Ax + Bx + -1C
(10x + -6x2) + 3(x + 4) = Ax + Bx + -1C

Reorder the terms:
10x + -6x2 + 3(4 + x) = Ax + Bx + -1C
10x + -6x2 + (4 * 3 + x * 3) = Ax + Bx + -1C
10x + -6x2 + (12 + 3x) = Ax + Bx + -1C

Reorder the terms:
12 + 10x + 3x + -6x2 = Ax + Bx + -1C

Combine like terms: 10x + 3x = 13x
12 + 13x + -6x2 = Ax + Bx + -1C

Reorder the terms:
12 + 13x + -6x2 = -1C + xA + xB

Solving
12 + 13x + -6x2 = -1C + xA + xB

Solving for variable 'x'.

Reorder the terms:
12 + C + 13x + -1xA + -1xB + -6x2 = -1C + xA + xB + C + -1xA + -1xB

Reorder the terms:
12 + C + 13x + -1xA + -1xB + -6x2 = -1C + C + xA + -1xA + xB + -1xB

Combine like terms: -1C + C = 0
12 + C + 13x + -1xA + -1xB + -6x2 = 0 + xA + -1xA + xB + -1xB
12 + C + 13x + -1xA + -1xB + -6x2 = xA + -1xA + xB + -1xB

Combine like terms: xA + -1xA = 0
12 + C + 13x + -1xA + -1xB + -6x2 = 0 + xB + -1xB
12 + C + 13x + -1xA + -1xB + -6x2 = xB + -1xB

Combine like terms: xB + -1xB = 0
12 + C + 13x + -1xA + -1xB + -6x2 = 0

The solution to this equation could not be determined.

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