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

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


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

Reorder the terms:
(-2abx + 3ax) + 3a = 2ab + -1(3x + a)
(-2abx + 3ax) + 3a = 2ab + -1(3x + a)

Reorder the terms:
3a + -2abx + 3ax = 2ab + -1(3x + a)

Reorder the terms:
3a + -2abx + 3ax = 2ab + -1(a + 3x)
3a + -2abx + 3ax = 2ab + (a * -1 + 3x * -1)
3a + -2abx + 3ax = 2ab + (-1a + -3x)

Reorder the terms:
3a + -2abx + 3ax = -1a + 2ab + -3x

Solving
3a + -2abx + 3ax = -1a + 2ab + -3x

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
3a + -2abx + a + 3ax = -1a + 2ab + a + -3x

Reorder the terms:
3a + a + -2abx + 3ax = -1a + 2ab + a + -3x

Combine like terms: 3a + a = 4a
4a + -2abx + 3ax = -1a + 2ab + a + -3x

Reorder the terms:
4a + -2abx + 3ax = -1a + a + 2ab + -3x

Combine like terms: -1a + a = 0
4a + -2abx + 3ax = 0 + 2ab + -3x
4a + -2abx + 3ax = 2ab + -3x

Add '-2ab' to each side of the equation.
4a + -2abx + -2ab + 3ax = 2ab + -2ab + -3x

Reorder the terms:
4a + -2ab + -2abx + 3ax = 2ab + -2ab + -3x

Combine like terms: 2ab + -2ab = 0
4a + -2ab + -2abx + 3ax = 0 + -3x
4a + -2ab + -2abx + 3ax = -3x

Combine like terms: -3x + 3x = 0
4a + -2ab + -2abx + 3ax + 3x = 0

The solution to this equation could not be determined.

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