(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 for easier multiplication:
-6 + -1x + 12x2 + -1 * 2x(-7 + 6x) + -5 = 2

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

Reorder the terms:
-6 + -5 + -1x + 14x + 12x2 + -12x2 = 2

Combine like terms: -6 + -5 = -11
-11 + -1x + 14x + 12x2 + -12x2 = 2

Combine like terms: -1x + 14x = 13x
-11 + 13x + 12x2 + -12x2 = 2

Combine like terms: 12x2 + -12x2 = 0
-11 + 13x + 0 = 2
-11 + 13x = 2

Solving
-11 + 13x = 2

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 13x = 2 + 11

Combine like terms: -11 + 11 = 0
0 + 13x = 2 + 11
13x = 2 + 11

Combine like terms: 2 + 11 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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