Final answer:
The value of x is 7/30.
Step-by-step explanation:
To solve the equation x + 2/3 = 9/10, you need to isolate x on one side of the equation.
First, subtract 2/3 from both sides of the equation to get:
x = 9/10 - 2/3.
To combine the fractions, you need a common denominator, which is the least common multiple of 3 and 10.
In this case, it's 30.
So, x = (9/10)*(3/3) - (2/3)*(10/10), which simplifies to:
x = 27/30 - 20/30.
Finally, subtract the numerators to get x = 7/30.