Mathematics
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OpenStudy (anonymous):
2(x-3)≥5-(x+3) I need help :(
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jimthompson5910 (jim_thompson5910):
Start off by distributing
2(x-3)≥5-(x+3)
2x-6 ≥ 5-x-3
what's next?
OpenStudy (anonymous):
i understand the distrubuting part, im stuck on the rest of it.
jimthompson5910 (jim_thompson5910):
ok you want to isolate x
jimthompson5910 (jim_thompson5910):
so you want to get all the x terms on one side and all the non x terms on the other
jimthompson5910 (jim_thompson5910):
so let's move all the x terms to the left side
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OpenStudy (anonymous):
okay how do u do that?
jimthompson5910 (jim_thompson5910):
Add x to both sides
jimthompson5910 (jim_thompson5910):
2x-6 ≥ 5-x-3
2x-6+x ≥ 5-x-3+x
3x-6 ≥ 5-3
jimthompson5910 (jim_thompson5910):
Sry it should be
3x-6 ≥ 2
jimthompson5910 (jim_thompson5910):
Now add 6 to both sides
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jimthompson5910 (jim_thompson5910):
3x-6 ≥ 2
3x-6+6 ≥ 2+6
3x ≥ 8
OpenStudy (anonymous):
woah Dx ugh okay i understand it from here. Thanks i suck at algebra
jimthompson5910 (jim_thompson5910):
you'll get better with more practice
jimthompson5910 (jim_thompson5910):
yeah it's def a lot to take in
OpenStudy (anonymous):
i guess so lol
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jimthompson5910 (jim_thompson5910):
just keep at it
jimthompson5910 (jim_thompson5910):
the last step is to divide both sides by 3 to completely isolate x
3x ≥ 8
3x/3 ≥ 8/3
x ≥ 8/3
jimthompson5910 (jim_thompson5910):
x is finally completely isolated, so we're done
OpenStudy (anonymous):
oh dang thats alot than i thought. I've been doing the easier ones til this problem lol. But thank you so much!
jimthompson5910 (jim_thompson5910):
yw