To solve the equation 3x - 4/6 = 7/8, we first need to simplify it:

3x - 4/6 = 7/8

To simplify the equation, we first need to convert 4/6 to a decimal:

4 ÷ 6 = 0.6667

Now the equation becomes:

3x - 0.6667 = 7/8

Next, we need to convert 7/8 to a decimal:

7 ÷ 8 = 0.875

Now the equation becomes:

3x - 0.6667 = 0.875

Add 0.6667 to both sides of the equation:

3x - 0.6667 + 0.6667 = 0.875 + 0.6667

3x = 1.5417

Now, divide by 3 to solve for x:

x = 1.5417 ÷ 3

x ≈ 0.5139

Therefore, the solution to the equation 3x - 4/6 = 7/8 is x ≈ 0.5139.