5/8 +3/4x = 1/16 this is what I have 3/4x = -9/16 1 = -3/4

Right.

Thank you

You're welcome.

To solve this equation, we need to isolate the variable x. Here's how you can proceed:

1. First, let's simplify the equation by combining the fractions on the left-hand side:
5/8 + 3/4x = 1/16

To add the fractions, we need a common denominator. The least common multiple (LCM) of 8 and 4 is 8. Therefore, we can rewrite the equation as:
(5 x 1)/(8 x 1) + (3/4)x = 1/16
5/8 + (3/4)x = 1/16

2. Now, let's get rid of the fraction 5/8. We can do this by multiplying both sides of the equation by 8:
8 * (5/8) + 8 * ((3/4)x) = 8 * (1/16)
5 + 6x = 1/2

Here, we simplified the fraction by multiplying the numerator and denominator of 1/16 by 8 to get 1/2.

3. Next, let's isolate the term with x by subtracting 5 from both sides of the equation:
5 + 6x - 5 = 1/2 - 5
6x = 1/2 - 10/2
6x = -9/2

4. Finally, we can solve for x by dividing both sides of the equation by 6:
(6x)/6 = (-9/2)/6
x = -9/12

The solution to the equation is x = -9/12 or x = -3/4.