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

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

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

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

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

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

Combine like terms: 9x + 4x = 13x
(6 + 13x + 6x2) = (x + -5)(6x + 1)

Reorder the terms:
6 + 13x + 6x2 = (-5 + x)(6x + 1)

Reorder the terms:
6 + 13x + 6x2 = (-5 + x)(1 + 6x)

Multiply (-5 + x) * (1 + 6x)
6 + 13x + 6x2 = (-5(1 + 6x) + x(1 + 6x))
6 + 13x + 6x2 = ((1 * -5 + 6x * -5) + x(1 + 6x))
6 + 13x + 6x2 = ((-5 + -30x) + x(1 + 6x))
6 + 13x + 6x2 = (-5 + -30x + (1 * x + 6x * x))
6 + 13x + 6x2 = (-5 + -30x + (1x + 6x2))

Combine like terms: -30x + 1x = -29x
6 + 13x + 6x2 = (-5 + -29x + 6x2)

Add '-6x2' to each side of the equation.
6 + 13x + 6x2 + -6x2 = -5 + -29x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
6 + 13x + 0 = -5 + -29x + 6x2 + -6x2
6 + 13x = -5 + -29x + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
6 + 13x = -5 + -29x + 0
6 + 13x = -5 + -29x

Solving
6 + 13x = -5 + -29x

Solving for variable 'x'.

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

Add '29x' to each side of the equation.
6 + 13x + 29x = -5 + -29x + 29x

Combine like terms: 13x + 29x = 42x
6 + 42x = -5 + -29x + 29x

Combine like terms: -29x + 29x = 0
6 + 42x = -5 + 0
6 + 42x = -5

Add '-6' to each side of the equation.
6 + -6 + 42x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 42x = -5 + -6
42x = -5 + -6

Combine like terms: -5 + -6 = -11
42x = -11

Divide each side by '42'.
x = -0.2619047619

Simplifying
x = -0.2619047619