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

Answer:

$x=6/13$

Step-by-step explanation:

So we have:

$\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x$

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:

$21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)$

Distribute:

$\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x$

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 :)