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

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Solution for (2x-1)(6x+5)-(4x-1)(3x-2)= equation: 


Simplifying
(2x + -1)(6x + 5) + -1(4x + -1)(3x + -2) = 0

Reorder the terms:
(-1 + 2x)(6x + 5) + -1(4x + -1)(3x + -2) = 0

Reorder the terms:
(-1 + 2x)(5 + 6x) + -1(4x + -1)(3x + -2) = 0

Multiply (-1 + 2x) * (5 + 6x)
(-1(5 + 6x) + 2x * (5 + 6x)) + -1(4x + -1)(3x + -2) = 0
((5 * -1 + 6x * -1) + 2x * (5 + 6x)) + -1(4x + -1)(3x + -2) = 0
((-5 + -6x) + 2x * (5 + 6x)) + -1(4x + -1)(3x + -2) = 0
(-5 + -6x + (5 * 2x + 6x * 2x)) + -1(4x + -1)(3x + -2) = 0
(-5 + -6x + (10x + 12x2)) + -1(4x + -1)(3x + -2) = 0

Combine like terms: -6x + 10x = 4x
(-5 + 4x + 12x2) + -1(4x + -1)(3x + -2) = 0

Reorder the terms:
-5 + 4x + 12x2 + -1(-1 + 4x)(3x + -2) = 0

Reorder the terms:
-5 + 4x + 12x2 + -1(-1 + 4x)(-2 + 3x) = 0

Multiply (-1 + 4x) * (-2 + 3x)
-5 + 4x + 12x2 + -1(-1(-2 + 3x) + 4x * (-2 + 3x)) = 0
-5 + 4x + 12x2 + -1((-2 * -1 + 3x * -1) + 4x * (-2 + 3x)) = 0
-5 + 4x + 12x2 + -1((2 + -3x) + 4x * (-2 + 3x)) = 0
-5 + 4x + 12x2 + -1(2 + -3x + (-2 * 4x + 3x * 4x)) = 0
-5 + 4x + 12x2 + -1(2 + -3x + (-8x + 12x2)) = 0

Combine like terms: -3x + -8x = -11x
-5 + 4x + 12x2 + -1(2 + -11x + 12x2) = 0
-5 + 4x + 12x2 + (2 * -1 + -11x * -1 + 12x2 * -1) = 0
-5 + 4x + 12x2 + (-2 + 11x + -12x2) = 0

Reorder the terms:
-5 + -2 + 4x + 11x + 12x2 + -12x2 = 0

Combine like terms: -5 + -2 = -7
-7 + 4x + 11x + 12x2 + -12x2 = 0

Combine like terms: 4x + 11x = 15x
-7 + 15x + 12x2 + -12x2 = 0

Combine like terms: 12x2 + -12x2 = 0
-7 + 15x + 0 = 0
-7 + 15x = 0

Solving
-7 + 15x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 15x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 15x = 0 + 7
15x = 0 + 7

Combine like terms: 0 + 7 = 7
15x = 7

Divide each side by '15'.
x = 0.4666666667

Simplifying
x = 0.4666666667

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