Question

Whats 2/3x+3/7=1-4/7x​

Answer 1

Answer: x = 6/13

find the common denominator (21);

14/21x + 9/21 = 21/21 - 12/21x

move your variable to one side and your constants to the other:

26/21x = 12/21

multiply all by 21/26 to get a lone x:

x = 12/26

simplify:

x = 6/13

Answer 2

`x=6/13`

Explanation:

So we have:

`(2)/(3)x+(3)/(7)=1-(4)/(7)x`

Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.

The denominators are 3 and 7.

The LCM of 3 and 7 is 21. Thus, multiply everything by 21:

`21((2)/(3)x+(3)/(7))=21(1-(4)/(7)x)`

Distribute:

`(42)/(3)x+(63)/(7)=21-(84)/(7)x`

Simplify the fractions:

`14x+9=21-12x`

Add 12x to both sides:

`26x+9=21`

Subtract 9 from both sides:

`26x=12`

Divide both sides by 26:

`x=12/26`

Reduce:

`x=6/13`

And that's our answer :)