(3a+4)(5x-2)-3a+4=0

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Solution for (3a+4)(5x-2)-3a+4=0 equation: 


Simplifying
(3a + 4)(5x + -2) + -3a + 4 = 0

Reorder the terms:
(4 + 3a)(5x + -2) + -3a + 4 = 0

Reorder the terms:
(4 + 3a)(-2 + 5x) + -3a + 4 = 0

Multiply (4 + 3a) * (-2 + 5x)
(4(-2 + 5x) + 3a * (-2 + 5x)) + -3a + 4 = 0
((-2 * 4 + 5x * 4) + 3a * (-2 + 5x)) + -3a + 4 = 0
((-8 + 20x) + 3a * (-2 + 5x)) + -3a + 4 = 0
(-8 + 20x + (-2 * 3a + 5x * 3a)) + -3a + 4 = 0
(-8 + 20x + (-6a + 15ax)) + -3a + 4 = 0

Reorder the terms:
(-8 + -6a + 15ax + 20x) + -3a + 4 = 0
(-8 + -6a + 15ax + 20x) + -3a + 4 = 0

Reorder the terms:
-8 + 4 + -6a + -3a + 15ax + 20x = 0

Combine like terms: -8 + 4 = -4
-4 + -6a + -3a + 15ax + 20x = 0

Combine like terms: -6a + -3a = -9a
-4 + -9a + 15ax + 20x = 0

Solving
-4 + -9a + 15ax + 20x = 0

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + -9a + 15ax + 4 + 20x = 0 + 4

Reorder the terms:
-4 + 4 + -9a + 15ax + 20x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -9a + 15ax + 20x = 0 + 4
-9a + 15ax + 20x = 0 + 4

Combine like terms: 0 + 4 = 4
-9a + 15ax + 20x = 4

Add '-20x' to each side of the equation.
-9a + 15ax + 20x + -20x = 4 + -20x

Combine like terms: 20x + -20x = 0
-9a + 15ax + 0 = 4 + -20x
-9a + 15ax = 4 + -20x

Reorder the terms:
-4 + -9a + 15ax + 20x = 4 + -20x + -4 + 20x

Reorder the terms:
-4 + -9a + 15ax + 20x = 4 + -4 + -20x + 20x

Combine like terms: 4 + -4 = 0
-4 + -9a + 15ax + 20x = 0 + -20x + 20x
-4 + -9a + 15ax + 20x = -20x + 20x

Combine like terms: -20x + 20x = 0
-4 + -9a + 15ax + 20x = 0

The solution to this equation could not be determined.

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