solve for x x-7/6=x+3/7

If you meant it the way you typed it ....

x-7/6=x+3/7
-7/6 = 3/7
contradiction, thus, no solution

if you meant
(x-7)/6=(x+3)/7
7x - 49 = 6x + 18
x = 67

See how critical those brackets are ?

To solve the equation (x - 7/6) = (x + 3/7) for x, we can start by getting rid of the fractions by finding a common denominator.

The least common multiple (LCM) of 6 and 7 is 42. Therefore, we'll multiply every term in the equation by 42 to eliminate the fractions.

42 * (x - 7/6) = 42 * (x + 3/7)

Expanding both sides:

42 * x - 42 * (7/6) = 42 * x + 42 * (3/7)

Simplifying:

42x - 49 = 42x + 18

Now, we can combine like terms. Move the 42x term to one side and the constant terms to the other side of the equation:

42x - 42x = -18 + 49

Simplifying further:

0 = 31

Since the equation simplifies to 0 = 31, we have a contradiction. Therefore, there is no solution for x that satisfies the equation (x - 7/6) = (x + 3/7).