Solve the equation.

To solve the equation, we can start by isolating the x-term.

To do this, we can first distribute the fraction to the terms inside the parentheses:

4/7 = 8/5 * x - 16/5

Next, let's get rid of the fractions by multiplying all terms by the least common denominator (LCD), which is 35 in this case:

35 * (4/7) = 35 * (8/5 * x - 16/5)

20 = 56x - 112

Now, let's isolate the x-term by moving the constant term to the other side:

56x = 20 + 112

56x = 132

Lastly, divide both sides by 56 to solve for x:

x = 132/56

Simplifying the right side, we get:

x = 33/14

Therefore, the solution to the equation is x = 33/14.