The expression is simplified to give -4( x + 37/2)
Given the expression:
[tex](\frac{-3}{4}x - 8) - ( -17 + \frac{2}{8} x)[/tex]
With the knowledge of BODMAS, we solve the bracket
Find the LCM
[tex](\frac{-3x - 16}{4} ) - ( \frac{-136 + 2x}{8} )[/tex]
expand the bracket
[tex]\frac{-3x - 16}{4} + \frac{136 + 2x}{8}[/tex]
Find the LCM
[tex]\frac{2( -3x - 16) + 136 + 2x }{8}[/tex]
[tex]\frac{-6x + 12 + 136 + 2x}{8}[/tex]
collect like terms
[tex]\frac{-4x + 148}{8}[/tex]
-4( x + 37/2)
Thus, the expression is simplified to give -4( x + 37/2)
Learn more about BODMAS here:
https://brainly.com/question/723406
#SPJ1