(6x-7)(x+5)=(2x+7)(3x+1)

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Solution for (6x-7)(x+5)=(2x+7)(3x+1) equation: 


Simplifying
(6x + -7)(x + 5) = (2x + 7)(3x + 1)

Reorder the terms:
(-7 + 6x)(x + 5) = (2x + 7)(3x + 1)

Reorder the terms:
(-7 + 6x)(5 + x) = (2x + 7)(3x + 1)

Multiply (-7 + 6x) * (5 + x)
(-7(5 + x) + 6x * (5 + x)) = (2x + 7)(3x + 1)
((5 * -7 + x * -7) + 6x * (5 + x)) = (2x + 7)(3x + 1)
((-35 + -7x) + 6x * (5 + x)) = (2x + 7)(3x + 1)
(-35 + -7x + (5 * 6x + x * 6x)) = (2x + 7)(3x + 1)
(-35 + -7x + (30x + 6x2)) = (2x + 7)(3x + 1)

Combine like terms: -7x + 30x = 23x
(-35 + 23x + 6x2) = (2x + 7)(3x + 1)

Reorder the terms:
-35 + 23x + 6x2 = (7 + 2x)(3x + 1)

Reorder the terms:
-35 + 23x + 6x2 = (7 + 2x)(1 + 3x)

Multiply (7 + 2x) * (1 + 3x)
-35 + 23x + 6x2 = (7(1 + 3x) + 2x * (1 + 3x))
-35 + 23x + 6x2 = ((1 * 7 + 3x * 7) + 2x * (1 + 3x))
-35 + 23x + 6x2 = ((7 + 21x) + 2x * (1 + 3x))
-35 + 23x + 6x2 = (7 + 21x + (1 * 2x + 3x * 2x))
-35 + 23x + 6x2 = (7 + 21x + (2x + 6x2))

Combine like terms: 21x + 2x = 23x
-35 + 23x + 6x2 = (7 + 23x + 6x2)

Add '-23x' to each side of the equation.
-35 + 23x + -23x + 6x2 = 7 + 23x + -23x + 6x2

Combine like terms: 23x + -23x = 0
-35 + 0 + 6x2 = 7 + 23x + -23x + 6x2
-35 + 6x2 = 7 + 23x + -23x + 6x2

Combine like terms: 23x + -23x = 0
-35 + 6x2 = 7 + 0 + 6x2
-35 + 6x2 = 7 + 6x2

Add '-6x2' to each side of the equation.
-35 + 6x2 + -6x2 = 7 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-35 + 0 = 7 + 6x2 + -6x2
-35 = 7 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-35 = 7 + 0
-35 = 7

Solving
-35 = 7

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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