Answer:
x = 3
Explanation:
Use FOIL method
(x - 5)(3x - 8) = x*3x + x*(-8) + (-5)*(3x) + (-5)*(-8)
= 3x² - 8x - 15x + 40 {Combine like terms}
= 3x² - 23x + 40
(4 - 3x)( 6 - x) = 4*6 + 4 *(-x) + (-3x)*6 + (-3x)*(-x)
= 24 - 4x - 18x + 3x² {Combine like terms}
= 3x² - 22x + 24
(x - 5)(3x - 8) = (4 - 3x)( 6 - x) + 13
3x² - 23x + 40 = 3x² -22x + 24 + 13
3x² - 23x + 40 - 3x² + 22x - 24 - 13 = 0
3x² - 3x² - 23x + 22x + 40 - 24 - 13 = 0 {Combine like terms}
0 - x = 0
-x +3= 0
3 = x
x =3