X+x/ 3= (x+ 1) / 5 find the value of unknown variables

x =  3 /17

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x +  x/ 3  =  x + 1 /5

x +  x /3  =  1 /5 x +  1/ 5  (Distribute)

x +  1 /3 x =  1 /5 x +  1 /5

(x +  1 /3 x) =  1/ 5 x +  1 /5  (Combine Like Terms)

4 /3 x =  1 /5 x +  1 /5

4 /3 x =  1/ 5 x +  1/ 5

Step 2: Subtract 1/5x from both sides.

4 /3 x −  1/ 5 x =  1 /5 x +  1/ 5  −  1 /5 x

17 /15 x =  1 /5

Step 3: Multiply both sides by 15/17.

( 15 /17 ) * ( 17 /15 x) = ( 15 /17 ) * ( 1 /5 )  

Which then leaves us with 3/17

Hope this helps!

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