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).