Final answer:
To solve the equation 2x + 1/3 = x - 1 = 20, combine like terms and isolate the variable x.
Step-by-step explanation:
To solve the equation 2x + 1/3 = x - 1 = 20, we need to simplify and combine like terms. First, let's combine the x terms on the right side of the equation. We can do this by subtracting x from both sides of the equation.
2x + 1/3 = 20 - x
Next, we can combine the constant terms on the right side of the equation by subtracting 1 from both sides.
2x + 1/3 = 19 - x
Now, we can combine the x terms on the left side of the equation by subtracting 2x from both sides.
3x + 1/3 = 19
To isolate the variable x, we can subtract 1/3 from both sides of the equation.
3x = 18 2/3
Finally, we can divide both sides of the equation by 3 to solve for x.
x = 6 1/3.