What is 5x-8➗3=11x-9➗5

Set this up as a proportion. As proportions you can make the equation:

(5x-8) (5) = (11x-9) (3).

From here, simply distribute and simplify.

(5) (5x) + (5) (-8) = (11x) (3) + (-9) (3)

(25x) + (-40) = (33x) + (-27)

25x - 40 = 33x - 27

Now solve for x.

25x (-25x) - 40 = 33x (-25x) - 27

-40 = 8x - 27

-40 (+27) = 8x - 27 (+27)

-13 = 8x

-13/8 = 8x / 8

-1 5/8 = x

x = - 1 5/8