Expanding the left side of the equation:
(3x - 5)(2x + 7) = 6x^2 + 21x - 10x - 3= 6x^2 + 11x - 35
Expanding the right side of the equation:
(3x + 1)(2x - 3) + 4x = 6x^2 - 9x + 2x - 3 + 4= 6x^2 - 3x + 1
Equating both sides of the equation:
6x^2 + 11x - 35 = 6x^2 - 3x + 1
To solve for x, we need to simplify the equation:
6x^2 - 6x^2 + 11x + 3x = 1 + 314x = 3x = 36/1x = 18/7
Expanding the left side of the equation:
(3x - 5)(2x + 7) = 6x^2 + 21x - 10x - 3
= 6x^2 + 11x - 35
Expanding the right side of the equation:
(3x + 1)(2x - 3) + 4x = 6x^2 - 9x + 2x - 3 + 4
= 6x^2 - 3x + 1
Equating both sides of the equation:
6x^2 + 11x - 35 = 6x^2 - 3x + 1
To solve for x, we need to simplify the equation:
6x^2 - 6x^2 + 11x + 3x = 1 + 3
14x = 3
x = 36/1
x = 18/7