(4x-3)(3x+5)+3x=(2x+4)(6x-5)

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Solution for (4x-3)(3x+5)+3x=(2x+4)(6x-5) equation: 


Simplifying
(4x + -3)(3x + 5) + 3x = (2x + 4)(6x + -5)

Reorder the terms:
(-3 + 4x)(3x + 5) + 3x = (2x + 4)(6x + -5)

Reorder the terms:
(-3 + 4x)(5 + 3x) + 3x = (2x + 4)(6x + -5)

Multiply (-3 + 4x) * (5 + 3x)
(-3(5 + 3x) + 4x * (5 + 3x)) + 3x = (2x + 4)(6x + -5)
((5 * -3 + 3x * -3) + 4x * (5 + 3x)) + 3x = (2x + 4)(6x + -5)
((-15 + -9x) + 4x * (5 + 3x)) + 3x = (2x + 4)(6x + -5)
(-15 + -9x + (5 * 4x + 3x * 4x)) + 3x = (2x + 4)(6x + -5)
(-15 + -9x + (20x + 12x2)) + 3x = (2x + 4)(6x + -5)

Combine like terms: -9x + 20x = 11x
(-15 + 11x + 12x2) + 3x = (2x + 4)(6x + -5)

Reorder the terms:
-15 + 11x + 3x + 12x2 = (2x + 4)(6x + -5)

Combine like terms: 11x + 3x = 14x
-15 + 14x + 12x2 = (2x + 4)(6x + -5)

Reorder the terms:
-15 + 14x + 12x2 = (4 + 2x)(6x + -5)

Reorder the terms:
-15 + 14x + 12x2 = (4 + 2x)(-5 + 6x)

Multiply (4 + 2x) * (-5 + 6x)
-15 + 14x + 12x2 = (4(-5 + 6x) + 2x * (-5 + 6x))
-15 + 14x + 12x2 = ((-5 * 4 + 6x * 4) + 2x * (-5 + 6x))
-15 + 14x + 12x2 = ((-20 + 24x) + 2x * (-5 + 6x))
-15 + 14x + 12x2 = (-20 + 24x + (-5 * 2x + 6x * 2x))
-15 + 14x + 12x2 = (-20 + 24x + (-10x + 12x2))

Combine like terms: 24x + -10x = 14x
-15 + 14x + 12x2 = (-20 + 14x + 12x2)

Add '-14x' to each side of the equation.
-15 + 14x + -14x + 12x2 = -20 + 14x + -14x + 12x2

Combine like terms: 14x + -14x = 0
-15 + 0 + 12x2 = -20 + 14x + -14x + 12x2
-15 + 12x2 = -20 + 14x + -14x + 12x2

Combine like terms: 14x + -14x = 0
-15 + 12x2 = -20 + 0 + 12x2
-15 + 12x2 = -20 + 12x2

Add '-12x2' to each side of the equation.
-15 + 12x2 + -12x2 = -20 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-15 + 0 = -20 + 12x2 + -12x2
-15 = -20 + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-15 = -20 + 0
-15 = -20

Solving
-15 = -20

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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