In order to find this answer we have to manipulate the equation algebraically so that we end up with a statement that x = something. We can manipulate the problem however we need to as long as we do the same thing to both sides of the equation (this keeps the equation true).
-8x/5 + 1/6 = -5x/3
first lets get the x's on one side of the equals sign by adding 8x/5 to each side.
1/6 = -5x/3 + 8x/5
Ok, now let's add the x's together (we need common denominators)
1/6 = -25x/15 + 24x/15
1/6 = -x/15
Now lets get x by itself by multiplying each side by 15
1/6 * 15 = -x
15/6 = -x
3/2 = -x
Multiply each side by -1 to make the x positive.
-3/2 = x