What is the simplified version of 7x-5(9-3x) less than or equal to 3(x +12) -8x

The simplified version of this expression is X  ≤  22/9

Step-by-step explanation:

Here, the given expression is 7X-5(9-3X)  ≤  3(X +12) -8X

Now, here Left Side  is  :  7X-5(9-3X)

And the Right Side is : 3(X +12) -8X

By DISTRIBUTIVE PROPERTY:

A(B  ± C) = AB ± AC

Now, simplifying both the sides separately, we get

Left Side   7 X - 5 (9 - 3 X)   = 7 X - 5(9) - 5 (-3X)

                     =  7 X  - 45 + 15 X  = 22 x  - 30

Right Side  3( X  + 12 )  - 8 X  = 3 (X) + 3(12) - 8 X

                     = 3 X + 36 - 8 X = - 5 X + 36

Now, combining both sides, we get

22 x  - 30   ≤  - 5 X + 36

or, 22 x  - 30 + 5 X    ≤  - 5 X + 36 + 5 X           (adding + 5 X on both sides)

⇒ 27 X - 30  ≤  36

or,   27 X  - 30  + 30  ≤  36 + 30                         (adding +30 on both sides)

or, 2 7 X ≤  66      ⇒ X  ≤  66/ 27  = 22/9

Hence, the simplified version of this expression is X  ≤  22/9

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