a(2x+3)+3bx-12x-5=0

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Solution for a(2x+3)+3bx-12x-5=0 equation: 


Simplifying
a(2x + 3) + 3bx + -12x + -5 = 0

Reorder the terms:
a(3 + 2x) + 3bx + -12x + -5 = 0
(3 * a + 2x * a) + 3bx + -12x + -5 = 0
(3a + 2ax) + 3bx + -12x + -5 = 0

Reorder the terms:
-5 + 3a + 2ax + 3bx + -12x = 0

Solving
-5 + 3a + 2ax + 3bx + -12x = 0

Solving for variable 'a'.

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

Add '5' to each side of the equation.
-5 + 3a + 2ax + 3bx + 5 + -12x = 0 + 5

Reorder the terms:
-5 + 5 + 3a + 2ax + 3bx + -12x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3a + 2ax + 3bx + -12x = 0 + 5
3a + 2ax + 3bx + -12x = 0 + 5

Combine like terms: 0 + 5 = 5
3a + 2ax + 3bx + -12x = 5

Add '-3bx' to each side of the equation.
3a + 2ax + 3bx + -3bx + -12x = 5 + -3bx

Combine like terms: 3bx + -3bx = 0
3a + 2ax + 0 + -12x = 5 + -3bx
3a + 2ax + -12x = 5 + -3bx

Add '12x' to each side of the equation.
3a + 2ax + -12x + 12x = 5 + -3bx + 12x

Combine like terms: -12x + 12x = 0
3a + 2ax + 0 = 5 + -3bx + 12x
3a + 2ax = 5 + -3bx + 12x

Reorder the terms:
-5 + 3a + 2ax + 3bx + -12x = 5 + -3bx + 12x + -5 + 3bx + -12x

Reorder the terms:
-5 + 3a + 2ax + 3bx + -12x = 5 + -5 + -3bx + 3bx + 12x + -12x

Combine like terms: 5 + -5 = 0
-5 + 3a + 2ax + 3bx + -12x = 0 + -3bx + 3bx + 12x + -12x
-5 + 3a + 2ax + 3bx + -12x = -3bx + 3bx + 12x + -12x

Combine like terms: -3bx + 3bx = 0
-5 + 3a + 2ax + 3bx + -12x = 0 + 12x + -12x
-5 + 3a + 2ax + 3bx + -12x = 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + 3a + 2ax + 3bx + -12x = 0

The solution to this equation could not be determined.

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