Final answer:
To solve the equation 2x - 1 = 5x - 4/3, you need to isolate the variable x on one side of the equation and perform operations to simplify and solve for x. The solution is x = 1/9.
Step-by-step explanation:
To solve the equation 2x - 1 = 5x - \frac{4}{3}, we need to isolate the variable x on one side of the equation. First, we can simplify the equation by multiplying every term by 3 to eliminate the denominator:
6x - 3 = 15x - 4
Next, we can combine like terms by subtracting 6x from both sides:
-3 = 9x - 4
Now, we can isolate the term with x by adding 4 to both sides:
1 = 9x
Finally, we can solve for x by dividing both sides by 9:
x = \frac{1}{9}
Therefore, the solution to the equation is x = \frac{1}{9} (option A).
Learn more about Solving linear equations