(4x-3)(3x+2)-(6x-7)(2x-5)=2

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Solution for (4x-3)(3x+2)-(6x-7)(2x-5)=2 equation: 


Simplifying
(4x + -3)(3x + 2) + -1(6x + -7)(2x + -5) = 2

Reorder the terms:
(-3 + 4x)(3x + 2) + -1(6x + -7)(2x + -5) = 2

Reorder the terms:
(-3 + 4x)(2 + 3x) + -1(6x + -7)(2x + -5) = 2

Multiply (-3 + 4x) * (2 + 3x)
(-3(2 + 3x) + 4x * (2 + 3x)) + -1(6x + -7)(2x + -5) = 2
((2 * -3 + 3x * -3) + 4x * (2 + 3x)) + -1(6x + -7)(2x + -5) = 2
((-6 + -9x) + 4x * (2 + 3x)) + -1(6x + -7)(2x + -5) = 2
(-6 + -9x + (2 * 4x + 3x * 4x)) + -1(6x + -7)(2x + -5) = 2
(-6 + -9x + (8x + 12x2)) + -1(6x + -7)(2x + -5) = 2

Combine like terms: -9x + 8x = -1x
(-6 + -1x + 12x2) + -1(6x + -7)(2x + -5) = 2

Reorder the terms:
-6 + -1x + 12x2 + -1(-7 + 6x)(2x + -5) = 2

Reorder the terms:
-6 + -1x + 12x2 + -1(-7 + 6x)(-5 + 2x) = 2

Multiply (-7 + 6x) * (-5 + 2x)
-6 + -1x + 12x2 + -1(-7(-5 + 2x) + 6x * (-5 + 2x)) = 2
-6 + -1x + 12x2 + -1((-5 * -7 + 2x * -7) + 6x * (-5 + 2x)) = 2
-6 + -1x + 12x2 + -1((35 + -14x) + 6x * (-5 + 2x)) = 2
-6 + -1x + 12x2 + -1(35 + -14x + (-5 * 6x + 2x * 6x)) = 2
-6 + -1x + 12x2 + -1(35 + -14x + (-30x + 12x2)) = 2

Combine like terms: -14x + -30x = -44x
-6 + -1x + 12x2 + -1(35 + -44x + 12x2) = 2
-6 + -1x + 12x2 + (35 * -1 + -44x * -1 + 12x2 * -1) = 2
-6 + -1x + 12x2 + (-35 + 44x + -12x2) = 2

Reorder the terms:
-6 + -35 + -1x + 44x + 12x2 + -12x2 = 2

Combine like terms: -6 + -35 = -41
-41 + -1x + 44x + 12x2 + -12x2 = 2

Combine like terms: -1x + 44x = 43x
-41 + 43x + 12x2 + -12x2 = 2

Combine like terms: 12x2 + -12x2 = 0
-41 + 43x + 0 = 2
-41 + 43x = 2

Solving
-41 + 43x = 2

Solving for variable 'x'.

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

Add '41' to each side of the equation.
-41 + 41 + 43x = 2 + 41

Combine like terms: -41 + 41 = 0
0 + 43x = 2 + 41
43x = 2 + 41

Combine like terms: 2 + 41 = 43
43x = 43

Divide each side by '43'.
x = 1

Simplifying
x = 1

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