(4/7)+(3/x-3)=53/56
x=?
I need someone to show me how to do the steps plz

Question

(4/7)+(3/x-3)=53/56
x=?
I need someone to show me how to do the steps plz

anonymous · Answer

I got x=11 but don't remember my exact steps

rajee_sam · Answer

yes you are right

anonymous · Answer

ok but i need the steps, cuz I forgot them

rajee_sam · Answer

First find the LCD of the two fractions on the left

rajee_sam · Answer

which is?

rajee_sam · Answer

7 ( x- 3)

[4 ( x- 3 ) + 3 ( 7) ] / 7 (x-3) = 53/56

Now expand the numerator on the LHS

(4x - 13 + 21) / (7x - 21) = 53/56

rajee_sam · Answer

its 12 not 13* in my previous step.

4x + 9 / 7x -21 = 53/56

Now cross multiply

56 ( 4x + 9 ) = 53 ( 7x - 21)

rajee_sam · Answer

Now again expand both sides

224 x + 504 = 371x - 1113

Combining like terms on both sides

504 + 1113 = 371x - 224x

1617 = 147x

x = 1617 / 147 = 11

anonymous · Answer

ok I will try one on my own now, thanks