Final answer:
To find x in the equation 7(x-1)/2 - 5x = 1/2, we can simplify and solve step by step. The value of x is -8/3.
Step-by-step explanation:
To find x, we can solve the given equation step by step.
First, let's simplify the equation: 7(x-1)/2 - 5x = 1/2. Distribute the 7 to both terms inside the parentheses: (7x - 7)/2 - 5x = 1/2. Next, combine like terms by getting rid of the fraction: 7x - 7 - 10x = 1.
Combine the x terms: -3x - 7 = 1. Add 7 to both sides: -3x = 8. Now, divide by -3 to solve for x: x = -8/3.