To solve this equation, we need to simplify and expand each side.
First, let's expand the left side:
(6x - 1)(x + 1) = 6x^2 + 6x - x - 1 = 6x^2 + 5x - 1
(2x + 3)(3x - 2) = 6x^2 - 4x + 9x - 6 = 6x^2 + 5x - 6
Now, substitute these values back into the equation:
(6x^2 + 5x - 1) - (6x^2 + 5x - 6) = -3 + x
Simplify the equation:
6x^2 + 5x - 1 - 6x^2 - 5x + 6 = -3 + x
5 = -3 + x
Now, move -3 to the other side:
x = 5 - 3
x = 2
Therefore, the solution to the equation is x = 2.
To solve this equation, we need to simplify and expand each side.
First, let's expand the left side:
(6x - 1)(x + 1) = 6x^2 + 6x - x - 1 = 6x^2 + 5x - 1
(2x + 3)(3x - 2) = 6x^2 - 4x + 9x - 6 = 6x^2 + 5x - 6
Now, substitute these values back into the equation:
(6x^2 + 5x - 1) - (6x^2 + 5x - 6) = -3 + x
Simplify the equation:
6x^2 + 5x - 1 - 6x^2 - 5x + 6 = -3 + x
5 = -3 + x
Now, move -3 to the other side:
x = 5 - 3
x = 2
Therefore, the solution to the equation is x = 2.