SOLUTION: Solve the following equation for X. These are fractions I just do not know how to type this. X-3 over 4 - X-1 over 9 = X-5 over 6.( X = ?). Thank you. Dave X-3 - X-1 = X-5 ___

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Question 93848: Solve the following equation for X. These are fractions I just do not know how to type this. X-3 over 4 - X-1 over 9 = X-5 over 6.( X = ?). Thank you. Dave
X-3 - X-1 = X-5
___ ___ ___
4 9 6

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!



Multiply both sides by the LCM 36 to eliminate the fractions

Distribute and multiply

Distribute again



Subtract 6x from both sides


Add 27 to both sides


Subtract 4 from both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by -1 to isolate x



Reduce

--------------------------------------------------------------
Answer:
So our answer is




--------------------------------------------------------------
Check:

Plug in x=7

Subtract

Reduce

Rewrite 1 as 9/9


Subtract the fractions

Reduce both sides. Since this equation is true, our answer is verified

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