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