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how do you find x if -2/3x+4=1/3x-2

 Apr 20, 2015

Best Answer 

 #1
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-2/3x+4=1/3x-2

 

$$\frac{-2x}{3}+4=\frac{x}{3}-2$$ Now move the 4 over,

 

$$\frac{-2x}{3}=\frac{x}{3}-6$$ Move the $$\frac{x}{3}$$ over,

 

$$\frac{-3x}{3}=-6$$ Simplify,

 

$$-x=-6$$ Now multiply both sides by -1 to make x a positive.

 

$$x=6$$

 

(If we substitute [x=6] into the sum we find that -4+4=2-2, which it does)

 

:)

 Apr 20, 2015
 #1
avatar+980 
+5
Best Answer

-2/3x+4=1/3x-2

 

$$\frac{-2x}{3}+4=\frac{x}{3}-2$$ Now move the 4 over,

 

$$\frac{-2x}{3}=\frac{x}{3}-6$$ Move the $$\frac{x}{3}$$ over,

 

$$\frac{-3x}{3}=-6$$ Simplify,

 

$$-x=-6$$ Now multiply both sides by -1 to make x a positive.

 

$$x=6$$

 

(If we substitute [x=6] into the sum we find that -4+4=2-2, which it does)

 

:)

zacismyname Apr 20, 2015

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