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

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