5x − 4 = 2 − x/2

1. Start with the equation:
5x - 4 = 2 - \frac{x}{2}
2. Eliminate the fraction by multiplying every term by 2:
2(5x - 4) = 2 \left( 2 - \frac{x}{2} \right)
3. Simplify:
10x - 8 = 4 - x
4. Move all terms involving x to one side of the equation:
10x + x = 4 + 8
5. Simplify:
11x = 12
6. Solve for x:
x = \frac{12}{11}

The final answer is:
x = \frac{12}{11}