X+2/3=5/6

Answer 1

To solve this equation, you want to get x by itself on one side of the equation.

First, let's get rid of the fraction on the left side of the equation by multiplying every term by 3 (since the denominator of 2/3 is 3):

3(x + 2/3) = 3(5/6)

This simplifies to:
3x + 2 = 5/2

Next, let's get rid of the fraction on the right side of the equation by multiplying every term by 2 (since the denominator of 5/2 is 2):

2(3x + 2) = 2(5/2)

This simplifies to:
6x + 4 = 5

Now, let's isolate x by subtracting 4 from both sides of the equation:

6x + 4 - 4 = 5 - 4

This simplifies to:
6x = 1

Finally, to solve for x, divide both sides of the equation by 6:

6x/6 = 1/6

This simplifies to:
x = 1/6