Answer:
x = 22/5.
Explanation:
To find the value of x in the equation (2x-1)/3 = 7-x, we can solve for x algebraically.
First, let's simplify the equation by multiplying both sides by 3 to eliminate the fraction:
3 * (2x-1)/3 = 3 * (7-x)
This simplifies to:
2x - 1 = 21 - 3x
Next, let's combine like terms by adding 3x to both sides:
2x + 3x - 1 = 21 - 3x + 3x
This simplifies to:
5x - 1 = 21
Now, let's isolate the variable x by adding 1 to both sides:
5x - 1 + 1 = 21 + 1
This simplifies to:
5x = 22
Finally, divide both sides by 5 to solve for x:
(5x)/5 = 22/5
This simplifies to:
x = 22/5
Therefore, the value of x in the equation (2x-1)/3 = 7-x is x = 22/5.