Question

3x-8(3-x)=53 show work

Answer 1

what do you want to know about this equation?

Answer 2

(3x-8)(3-x)
just multiply it out as you would a normal multipication:
a) -x * -8 = +8x
b)-x * 3x = -3x^2
c) 3 * -8 = -16
d) 3 * 3x = 9x
putting this together (highest powers first) you get:
-3x^2 +9x +8x -16 = 53
lets change the negative sign:
3x^2-9x-8x+16 = -53
3x^2-17x+16+53=0
3x^2-17+59=0
and use quadratic formula to solve this, to get two solutions.