3x-a=a(x-3)+6

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


Simplifying
3x + -1a = a(x + -3) + 6

Reorder the terms:
-1a + 3x = a(x + -3) + 6

Reorder the terms:
-1a + 3x = a(-3 + x) + 6
-1a + 3x = (-3 * a + x * a) + 6
-1a + 3x = (-3a + ax) + 6

Reorder the terms:
-1a + 3x = 6 + -3a + ax

Solving
-1a + 3x = 6 + -3a + ax

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-1a + 3a + 3x = 6 + -3a + 3a + ax

Combine like terms: -1a + 3a = 2a
2a + 3x = 6 + -3a + 3a + ax

Combine like terms: -3a + 3a = 0
2a + 3x = 6 + 0 + ax
2a + 3x = 6 + ax

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

Combine like terms: ax + -1ax = 0
2a + -1ax + 3x = 6 + 0
2a + -1ax + 3x = 6

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

Combine like terms: 3x + -3x = 0
2a + -1ax + 0 = 6 + -3x
2a + -1ax = 6 + -3x

Reorder the terms:
-6 + 2a + -1ax + 3x = 6 + -3x + -6 + 3x

Reorder the terms:
-6 + 2a + -1ax + 3x = 6 + -6 + -3x + 3x

Combine like terms: 6 + -6 = 0
-6 + 2a + -1ax + 3x = 0 + -3x + 3x
-6 + 2a + -1ax + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-6 + 2a + -1ax + 3x = 0

The solution to this equation could not be determined.

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