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

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


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

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

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

Multiply (-1 + 3x) * (5 + 4x)
(-1(5 + 4x) + 3x * (5 + 4x)) + -1(2x + 3)(6x + 1) = 4
((5 * -1 + 4x * -1) + 3x * (5 + 4x)) + -1(2x + 3)(6x + 1) = 4
((-5 + -4x) + 3x * (5 + 4x)) + -1(2x + 3)(6x + 1) = 4
(-5 + -4x + (5 * 3x + 4x * 3x)) + -1(2x + 3)(6x + 1) = 4
(-5 + -4x + (15x + 12x2)) + -1(2x + 3)(6x + 1) = 4

Combine like terms: -4x + 15x = 11x
(-5 + 11x + 12x2) + -1(2x + 3)(6x + 1) = 4

Reorder the terms:
-5 + 11x + 12x2 + -1(3 + 2x)(6x + 1) = 4

Reorder the terms:
-5 + 11x + 12x2 + -1(3 + 2x)(1 + 6x) = 4

Multiply (3 + 2x) * (1 + 6x)
-5 + 11x + 12x2 + -1(3(1 + 6x) + 2x * (1 + 6x)) = 4
-5 + 11x + 12x2 + -1((1 * 3 + 6x * 3) + 2x * (1 + 6x)) = 4
-5 + 11x + 12x2 + -1((3 + 18x) + 2x * (1 + 6x)) = 4
-5 + 11x + 12x2 + -1(3 + 18x + (1 * 2x + 6x * 2x)) = 4
-5 + 11x + 12x2 + -1(3 + 18x + (2x + 12x2)) = 4

Combine like terms: 18x + 2x = 20x
-5 + 11x + 12x2 + -1(3 + 20x + 12x2) = 4
-5 + 11x + 12x2 + (3 * -1 + 20x * -1 + 12x2 * -1) = 4
-5 + 11x + 12x2 + (-3 + -20x + -12x2) = 4

Reorder the terms:
-5 + -3 + 11x + -20x + 12x2 + -12x2 = 4

Combine like terms: -5 + -3 = -8
-8 + 11x + -20x + 12x2 + -12x2 = 4

Combine like terms: 11x + -20x = -9x
-8 + -9x + 12x2 + -12x2 = 4

Combine like terms: 12x2 + -12x2 = 0
-8 + -9x + 0 = 4
-8 + -9x = 4

Solving
-8 + -9x = 4

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + -9x = 4 + 8

Combine like terms: -8 + 8 = 0
0 + -9x = 4 + 8
-9x = 4 + 8

Combine like terms: 4 + 8 = 12
-9x = 12

Divide each side by '-9'.
x = -1.333333333

Simplifying
x = -1.333333333

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