12a+15b+9c=X(Aa+Bb+3c)

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Solution for 12a+15b+9c=X(Aa+Bb+3c) equation: 


Simplifying
12a + 15b + 9c = X(Aa + Bb + 3c)
12a + 15b + 9c = (aA * X + bB * X + 3c * X)
12a + 15b + 9c = (aAX + bBX + 3cX)

Solving
12a + 15b + 9c = aAX + bBX + 3cX

Solving for variable 'a'.

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

Add '-1aAX' to each side of the equation.
12a + 15b + -1aAX + 9c = aAX + bBX + -1aAX + 3cX

Reorder the terms:
12a + -1aAX + 15b + 9c = aAX + bBX + -1aAX + 3cX

Reorder the terms:
12a + -1aAX + 15b + 9c = aAX + -1aAX + bBX + 3cX

Combine like terms: aAX + -1aAX = 0
12a + -1aAX + 15b + 9c = 0 + bBX + 3cX
12a + -1aAX + 15b + 9c = bBX + 3cX

Add '-15b' to each side of the equation.
12a + -1aAX + 15b + -15b + 9c = bBX + -15b + 3cX

Combine like terms: 15b + -15b = 0
12a + -1aAX + 0 + 9c = bBX + -15b + 3cX
12a + -1aAX + 9c = bBX + -15b + 3cX

Reorder the terms:
12a + -1aAX + 9c = -15b + bBX + 3cX

Add '-9c' to each side of the equation.
12a + -1aAX + 9c + -9c = -15b + bBX + -9c + 3cX

Combine like terms: 9c + -9c = 0
12a + -1aAX + 0 = -15b + bBX + -9c + 3cX
12a + -1aAX = -15b + bBX + -9c + 3cX

Reorder the terms:
12a + -1aAX + 15b + -1bBX + 9c + -3cX = -15b + 15b + bBX + -1bBX + -9c + 9c + 3cX + -3cX

Combine like terms: -15b + 15b = 0
12a + -1aAX + 15b + -1bBX + 9c + -3cX = 0 + bBX + -1bBX + -9c + 9c + 3cX + -3cX
12a + -1aAX + 15b + -1bBX + 9c + -3cX = bBX + -1bBX + -9c + 9c + 3cX + -3cX

Combine like terms: bBX + -1bBX = 0
12a + -1aAX + 15b + -1bBX + 9c + -3cX = 0 + -9c + 9c + 3cX + -3cX
12a + -1aAX + 15b + -1bBX + 9c + -3cX = -9c + 9c + 3cX + -3cX

Combine like terms: -9c + 9c = 0
12a + -1aAX + 15b + -1bBX + 9c + -3cX = 0 + 3cX + -3cX
12a + -1aAX + 15b + -1bBX + 9c + -3cX = 3cX + -3cX

Combine like terms: 3cX + -3cX = 0
12a + -1aAX + 15b + -1bBX + 9c + -3cX = 0

The solution to this equation could not be determined.

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