3x(a-2b)+a(2a-b)=2x+2ax+x(a-6b)

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Solution for 3x(a-2b)+a(2a-b)=2x+2ax+x(a-6b) equation: 


Simplifying
3x(a + -2b) + a(2a + -1b) = 2x + 2ax + x(a + -6b)
(a * 3x + -2b * 3x) + a(2a + -1b) = 2x + 2ax + x(a + -6b)
(3ax + -6bx) + a(2a + -1b) = 2x + 2ax + x(a + -6b)
3ax + -6bx + (2a * a + -1b * a) = 2x + 2ax + x(a + -6b)

Reorder the terms:
3ax + -6bx + (-1ab + 2a2) = 2x + 2ax + x(a + -6b)
3ax + -6bx + (-1ab + 2a2) = 2x + 2ax + x(a + -6b)

Reorder the terms:
-1ab + 3ax + 2a2 + -6bx = 2x + 2ax + x(a + -6b)
-1ab + 3ax + 2a2 + -6bx = 2x + 2ax + (a * x + -6b * x)
-1ab + 3ax + 2a2 + -6bx = 2x + 2ax + (ax + -6bx)

Reorder the terms:
-1ab + 3ax + 2a2 + -6bx = 2ax + ax + -6bx + 2x

Combine like terms: 2ax + ax = 3ax
-1ab + 3ax + 2a2 + -6bx = 3ax + -6bx + 2x

Add '-3ax' to each side of the equation.
-1ab + 3ax + 2a2 + -3ax + -6bx = 3ax + -6bx + -3ax + 2x

Reorder the terms:
-1ab + 3ax + -3ax + 2a2 + -6bx = 3ax + -6bx + -3ax + 2x

Combine like terms: 3ax + -3ax = 0
-1ab + 0 + 2a2 + -6bx = 3ax + -6bx + -3ax + 2x
-1ab + 2a2 + -6bx = 3ax + -6bx + -3ax + 2x

Reorder the terms:
-1ab + 2a2 + -6bx = 3ax + -3ax + -6bx + 2x

Combine like terms: 3ax + -3ax = 0
-1ab + 2a2 + -6bx = 0 + -6bx + 2x
-1ab + 2a2 + -6bx = -6bx + 2x

Add '6bx' to each side of the equation.
-1ab + 2a2 + -6bx + 6bx = -6bx + 6bx + 2x

Combine like terms: -6bx + 6bx = 0
-1ab + 2a2 + 0 = -6bx + 6bx + 2x
-1ab + 2a2 = -6bx + 6bx + 2x

Combine like terms: -6bx + 6bx = 0
-1ab + 2a2 = 0 + 2x
-1ab + 2a2 = 2x

Solving
-1ab + 2a2 = 2x

Solving for variable 'a'.

Combine like terms: 2x + -2x = 0
-1ab + 2a2 + -2x = 0

The solution to this equation could not be determined.

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