X(4a-b-c)-3x(-a+b+c)=

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Solution for X(4a-b-c)-3x(-a+b+c)= equation: 


Simplifying
X(4a + -1b + -1c) + -3x(-1a + b + c) = 0
(4a * X + -1b * X + -1c * X) + -3x(-1a + b + c) = 0
(4aX + -1bX + -1cX) + -3x(-1a + b + c) = 0
4aX + -1bX + -1cX + (-1a * -3x + b * -3x + c * -3x) = 0
4aX + -1bX + -1cX + (3ax + -3bx + -3cx) = 0

Reorder the terms:
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 0

Solving
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 0

Solving for variable 'a'.

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

Add 'bX' to each side of the equation.
4aX + 3ax + -1bX + -3bx + -1cX + bX + -3cx = 0 + bX

Reorder the terms:
4aX + 3ax + -1bX + bX + -3bx + -1cX + -3cx = 0 + bX

Combine like terms: -1bX + bX = 0
4aX + 3ax + 0 + -3bx + -1cX + -3cx = 0 + bX
4aX + 3ax + -3bx + -1cX + -3cx = 0 + bX
Remove the zero:
4aX + 3ax + -3bx + -1cX + -3cx = bX

Add '3bx' to each side of the equation.
4aX + 3ax + -3bx + -1cX + 3bx + -3cx = bX + 3bx

Reorder the terms:
4aX + 3ax + -3bx + 3bx + -1cX + -3cx = bX + 3bx

Combine like terms: -3bx + 3bx = 0
4aX + 3ax + 0 + -1cX + -3cx = bX + 3bx
4aX + 3ax + -1cX + -3cx = bX + 3bx

Add 'cX' to each side of the equation.
4aX + 3ax + -1cX + cX + -3cx = bX + 3bx + cX

Combine like terms: -1cX + cX = 0
4aX + 3ax + 0 + -3cx = bX + 3bx + cX
4aX + 3ax + -3cx = bX + 3bx + cX

Add '3cx' to each side of the equation.
4aX + 3ax + -3cx + 3cx = bX + 3bx + cX + 3cx

Combine like terms: -3cx + 3cx = 0
4aX + 3ax + 0 = bX + 3bx + cX + 3cx
4aX + 3ax = bX + 3bx + cX + 3cx

Reorder the terms:
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = bX + -1bX + 3bx + -3bx + cX + -1cX + 3cx + -3cx

Combine like terms: bX + -1bX = 0
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 0 + 3bx + -3bx + cX + -1cX + 3cx + -3cx
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 3bx + -3bx + cX + -1cX + 3cx + -3cx

Combine like terms: 3bx + -3bx = 0
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 0 + cX + -1cX + 3cx + -3cx
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = cX + -1cX + 3cx + -3cx

Combine like terms: cX + -1cX = 0
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 0 + 3cx + -3cx
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 3cx + -3cx

Combine like terms: 3cx + -3cx = 0
4aX + 3ax + -1bX + -3bx + -1cX + -3cx = 0

The solution to this equation could not be determined.

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