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Step-by-step explanation:
6x-2/9 + 3x+5/18 = 1/3
First we will find the LCM of the denominators that is(LCM of 9,18 and 3= 18)
Now divide each term with the LCM so that we don't have any denominator left.
⇒18(6x-2)/9 + 18(3x+5)/18 = 18(1)/3
Now lets reduce the denominators.
We get ↓
⇒2(6x-2) + (3x+5) = 6 (we dont have denominators left now because we reduced them with the LCM)
⇒12x-4 + 3x+5 = 6 (by multiplying 2 by 6x and -2)
Lets get the variables in one side now.
⇒12x+3x = 6+4-5 (by transposition)
⇒15x = 10-5
⇒15x = 5
⇒x = 5/15
⇒x = 1/3
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