To find x you want to isolate x from all other variables in the equation.
In this equation you have to first undo 1/2, to do this, you subtract 1/2 on both sides of the equation. when you do this, the 1/2 on the left side will cancel out and on the right side of the equation will be 2/3-1/2=4/6-3/6=1/6
Now the equation looks like this: 2/3x=1/6
The next step is to cancel the 2/3. To do this, you divide 2/3 on both sides. On the left side it will cancel out, on the right side will be 1/6÷2/3. since we know diving a fraction is the same as multiplying it's reciprocal we know that 1/6÷2/3=1/6*3/2=1/4
You need to isolate the variable meaning .make x the only thing on one side, you do this by doing the opposite of what is being done to it. 1/2 is being added to it so subtract 1/2 from both sides of the equel sign. Next it is being multiplied by 2/3 so divide by 2/3 on both sides and you have your answer, by doing the opposite of what is being done to x you cancel everything out on that side leaving only x.
