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What is \(\frac{1}{4}(x-3)=\frac{1}{3}(x-2)\)

 Mar 9, 2017

Best Answer 

 #1
avatar+9481 
+11

\(\frac{(x-3)}{4}=\frac{(x-2)}{3}\)

 

Cross-multiply:

\(3(x-3) = 4(x-2)\)

 

Distribute:

3x - 9 = 4x - 8

 

Add 8 to both sides:

3x - 1 = 4x

 

Subtract 3x from both sides:

-1 = x

 Mar 9, 2017
 #1
avatar+9481 
+11
Best Answer

\(\frac{(x-3)}{4}=\frac{(x-2)}{3}\)

 

Cross-multiply:

\(3(x-3) = 4(x-2)\)

 

Distribute:

3x - 9 = 4x - 8

 

Add 8 to both sides:

3x - 1 = 4x

 

Subtract 3x from both sides:

-1 = x

hectictar Mar 9, 2017

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