2a(x+3)-x(a+3)-18=0

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Solution for 2a(x+3)-x(a+3)-18=0 equation:


Simplifying
2a(x + 3) + -1x(a + 3) + -18 = 0

Reorder the terms:
2a(3 + x) + -1x(a + 3) + -18 = 0
(3 * 2a + x * 2a) + -1x(a + 3) + -18 = 0
(6a + 2ax) + -1x(a + 3) + -18 = 0

Reorder the terms:
6a + 2ax + -1x(3 + a) + -18 = 0
6a + 2ax + (3 * -1x + a * -1x) + -18 = 0

Reorder the terms:
6a + 2ax + (-1ax + -3x) + -18 = 0
6a + 2ax + (-1ax + -3x) + -18 = 0

Reorder the terms:
-18 + 6a + 2ax + -1ax + -3x = 0

Combine like terms: 2ax + -1ax = 1ax
-18 + 6a + 1ax + -3x = 0

Solving
-18 + 6a + 1ax + -3x = 0

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + 6a + 1ax + 18 + -3x = 0 + 18

Reorder the terms:
-18 + 18 + 6a + 1ax + -3x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 6a + 1ax + -3x = 0 + 18
6a + 1ax + -3x = 0 + 18

Combine like terms: 0 + 18 = 18
6a + 1ax + -3x = 18

Add '3x' to each side of the equation.
6a + 1ax + -3x + 3x = 18 + 3x

Combine like terms: -3x + 3x = 0
6a + 1ax + 0 = 18 + 3x
6a + 1ax = 18 + 3x

Reorder the terms:
-18 + 6a + 1ax + -3x = 18 + 3x + -18 + -3x

Reorder the terms:
-18 + 6a + 1ax + -3x = 18 + -18 + 3x + -3x

Combine like terms: 18 + -18 = 0
-18 + 6a + 1ax + -3x = 0 + 3x + -3x
-18 + 6a + 1ax + -3x = 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 6a + 1ax + -3x = 0

The solution to this equation could not be determined.

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