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OpenStudy (anonymous):
What is the solution to the equation one third (9x-6)=2x+3?
X=
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OpenStudy (anonymous):
Something like this? \[\frac{ 9x-6 }{ 3 }=2x+3\]
OpenStudy (anonymous):
\[\frac{ 1}{ 3} (9x-6)=2x+3\]
OpenStudy (anonymous):
That is what I wrote...anyway we need to simplify the left side of the equation. How would you do that?
OpenStudy (anonymous):
the Parentheses' first and then the rest
OpenStudy (anonymous):
How do we get rid of the 3? \[1/3 (9x-6) = \frac{ 9x-6 }{ 3 }\]
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OpenStudy (anonymous):
\[\frac{ 9x -6 }{ 3 }= What\]
OpenStudy (anonymous):
No you do not understand. 1/3 times 9x -6 is the same as 9x-6 /3.\[\frac{ 1 }{ 3 }x \frac{ 9x-6 }{ 1 } = \frac{ 9x -6 }{ 3 }\]
OpenStudy (anonymous):
oh okay sorry
OpenStudy (anonymous):
No problemo.
So how do you simplify 9x-6 /3?
OpenStudy (anonymous):
Divide each term above the line by 3.
So 9x divided by 3 equals what?
And -6 divided by 3 equals what?
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OpenStudy (anonymous):
3x and -2
OpenStudy (anonymous):
@iGreen
OpenStudy (igreen):
First we simplify:
\(\dfrac{1}{3}(9x - 6)\)
Can you multiply these?
\(\dfrac{1}{3} \times 9x\)
\(\dfrac{1}{3} \times -6\)
OpenStudy (anonymous):
please help
OpenStudy (anonymous):
3 and 2
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OpenStudy (igreen):
Actually that would be 3x and -2.
OpenStudy (igreen):
So we have:
\(3x - 2 = 2x + 3\)
Add 2 to both sides:
\(3x = 2x + 5\)
Subtract 2 to both sides, what's 3x - 2x? @Alpha_Female_Wolf02
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