Simplified version of [tex]7x-5(9-3x)< 3(x+12)-8x[/tex] is [tex]x<3[/tex]
Step-by-step explanation:
We need to simplify the term: [tex]7x-5(9-3x)< 3(x+12)-8x[/tex]
Solving:
[tex]7x-5(9-3x)< 3(x+12)-8x[/tex]
Multiplying terms inside the bracket with terms outside it.
[tex]7x-45+15x< 3x+36-8x[/tex]
Combining Like terms:
[tex]7x+15x-45< 3x-8x+36\\22x-45<-5x+36[/tex]
Add 45 on both sides:
[tex]22x-45+45<-5x+36+45\\22x<-5x+81[/tex]
Add 5x on both sides:
[tex]22x+5x<-5x+5x+81\\27x<81[/tex]
Divide 27 on both sides:
[tex]\frac{27x}{27}< \frac{81}{21}\\x<3[/tex]
So, Simplified version of [tex]7x-5(9-3x)< 3(x+12)-8x[/tex] is [tex]x<3[/tex]
Keywords: Solving inequalities
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