To find the equations that have the same value as x as 5/6x + 2/3, we can set them equal to each other and solve for x. Let's do that:
5/6x + 2/3 = x
To solve this equation, we can start by getting rid of the fractions. We can do this by multiplying every term in the equation by the least common multiple (LCM) of the denominators, which in this case is 6.
6 * (5/6x) + 6 * (2/3) = 6 * x
Canceling out the denominators, we get:
5x + 4 = 6x
Next, let's isolate the variable x on one side of the equation. We can do this by subtracting 5x from both sides:
5x - 5x + 4 = 6x - 5x
Simplifying, we have:
4 = x
So, the equation x = 4 has the same value as 5/6x + 2/3.
Do you have any questions about this or any other topic?
