To solve this equation, we need to first simplify it by finding a common denominator for each fraction.
The common denominator for the fractions is 12, so we need to re-write the equation with all fractions having a denominator of 12:
4x−44x-44x−4/12 + 3x−93x-93x−9/12 = 6x−26x-26x−2/12 + 3x+33x+33x+3/12
Next, combine like terms on each side of the equation:
4x−4+3x−94x-4 + 3x-94x−4+3x−9 = 6x−2+3x+36x-2 + 3x+36x−2+3x+3 7x - 13 = 9x + 1
Now, we can solve for x by isolating it on one side of the equation:
7x - 13 = 9x + 1-13 = 2x + 1-14 = 2xx = -7
Therefore, the solution to the equation is x = -7.
To solve this equation, we need to first simplify it by finding a common denominator for each fraction.
The common denominator for the fractions is 12, so we need to re-write the equation with all fractions having a denominator of 12:
4x−44x-44x−4/12 + 3x−93x-93x−9/12 = 6x−26x-26x−2/12 + 3x+33x+33x+3/12
Next, combine like terms on each side of the equation:
4x−4+3x−94x-4 + 3x-94x−4+3x−9 = 6x−2+3x+36x-2 + 3x+36x−2+3x+3 7x - 13 = 9x + 1
Now, we can solve for x by isolating it on one side of the equation:
7x - 13 = 9x + 1
-13 = 2x + 1
-14 = 2x
x = -7
Therefore, the solution to the equation is x = -7.