3x-5/6=7x+4/4

If you mean
(3x-5)/6= (7x+4)/4 , then
12 x - 20 = 42 x + 24
and you can take it from there.

If you mean 3x - 5/6 = 7x + 4/4,
then the answer will be different.

Please use parentheses to clarify ambiguous algebraic statements such as the one you typed.

Apologies for any confusion caused. Let's clarify the equation:

If the equation is (3x-5)/6 = (7x+4)/4, then we can solve it as follows:

Step 1: Multiply both sides of the equation by the least common multiple (LCM) of the denominators (6 and 4), which is 12. This step eliminates the fractions, giving us:

12((3x-5)/6) = 12((7x+4)/4)

Step 2: Simplify both sides:

2(3x-5) = 3(7x+4)

Step 3: Distribute the 2 and 3 to each term inside the parentheses:

6x - 10 = 21x + 12

Step 4: Combine like terms on both sides of the equation:

6x - 21x = 12 + 10

-15x = 22

Step 5: Divide both sides by -15 to isolate x:

x = 22/-15

Step 6: Simplify the fraction, if possible:

x = -22/15

So, if the equation is (3x-5)/6 = (7x+4)/4, then the solution is x = -22/15.

However, if the equation is 3x - 5/6 = 7x + 4/4, it will yield a different solution. Please let me know if that's the equation you intended.