I can't figure this problem out. I need to solve for x. 5/6x+1/2=2/3

5/6x+1/2=2/3

5/6x = 2/3 -1/2
5/6x= 1/6
x = 1/6 divided by 5/6
= 1/5

5/6x+1/2=2/3

5/6x = 2/3 - 1/2
5/6x = 4/6 - 3/6
5/6x = 1/6
x = 1/6 divided by 5/6
x = 1/6 * 6/5
x = 6/30 = 1/5

To solve for x in the equation 5/6x + 1/2 = 2/3, you can follow these steps:

Step 1: Get rid of the fractions by multiplying every term in the equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 6.

Multiplying 5/6x by 6 gives you (6*(5/6x)) = 5x.
Multiplying 1/2 by 6 gives you (6*(1/2)) = 3.

So the equation becomes: 5x + 3 = (2/3) * 6 = 4.

Step 2: Isolate the variable term by subtracting 3 from both sides of the equation.

By subtracting 3 from both sides, the equation becomes 5x = 4 - 3 = 1.

Step 3: Solve for x by dividing both sides of the equation by the coefficient of x, which is 5.

Dividing both sides by 5, the equation becomes (5x)/5 = 1/5, which simplifies to x = 1/5.

Therefore, the solution to the equation 5/6x + 1/2 = 2/3 is x = 1/5.