SOLUTION: How do you solve 4(3x-8)+2x<16 ? This prefreshman engineering program gives us hard equations & doesnt even explain it tous ! please tell me how step by step ...

Algebra ->  Equations -> SOLUTION: How do you solve 4(3x-8)+2x<16 ? This prefreshman engineering program gives us hard equations & doesnt even explain it tous ! please tell me how step by step ...      Log On


   



Question 623508: How do you solve 4(3x-8)+2x<16 ? This prefreshman engineering program gives us hard equations & doesnt even explain it tous ! please tell me how step by step ...
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%283x-8%29%2B2x%3C16 Start with the given inequality.


12x-32%2B2x%3C16 Distribute.


14x-32%3C16 Combine like terms on the left side.


14x%3C16%2B32 Add 32 to both sides.


14x%3C48 Combine like terms on the right side.


x%3C%2848%29%2F%2814%29 Divide both sides by 14 to isolate x.


x%3C24%2F7 Reduce.


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Answer:

So the solution is x%3C24%2F7

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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
This is called an inequality
It says that the left side is less than the right side
Get +x+ on one side
+4%283x-8%29%2B2x%3C16+
+12x+-+32+%2B+2x+%3C+16+
+14x+-+32+%3C+16+
Add +32+ to both sides
+14x+%3C+48+
+x+%3C+24%2F7+
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I'll check with a calculator
+24%2F7+=+3.4286+
I'll make +x+=+3.428+ to make the inequality true
+4%283x-8%29%2B2x%3C16+
+4%283%2A3.428-8%29%2B2%2A3.428+%3C+16+
+4%2A%28+10.284+-+8+%29+%2B+6.856+%3C+16+
+4%2A2.284+%2B+6.856+%3C+16+
+9.136+%2B+6.856+%3C+16+
+15.992+%3C+16+
This is true, if I didn't miscalculate