Question

(x-5)(x+3)=(x-7)(x+4)

evaluate the value of x with method​

Answer 1

Answer:

x = -13

Step-by-step explanation:

$(x - 5)(x + 3) = (x - 7)(x + 4) \\ {x}^{2} + 3x - 5x - 15 = {x}^{2} + 4x - 7x - 28 \\ {x}^{2} - 2x - 15 = {x}^{2} - 3x - 28 \\ - 2x - 15 = - 3x - 28 \\ - 2x + 3x = - 28 + 15 \\ x = - 13$

therefore x = -13

verification

(x - 5)(x + 3) = (x - 7) (x + 4)

(-13 - 5)(-13 + 3) = (-13 - 7) (-13 + 4)

- 18 × - 10 = - 20 × - 9

180 = 180

hope you get your answer