To solve the equation for x, we need to combine like terms and isolate x on one side of the equation.

First, let's simplify the equation by multiplying both sides by 56 (the least common multiple of 7 and 8) to get rid of the fractions:

56(x) + 56(3/7) = 56(3x) - 56(2/8)
56x + 24 = 168x - 14

Next, let's isolate x by moving all terms with x to one side of the equation:

56x - 168x = -14 - 24
-112x = -38

Finally, we solve for x by dividing both sides by -112:

x = -38 / -112
x = 19 / 56

Therefore, the solution to the equation is x = 19/56.