The given inequality is expressed as
2x - 3 > (2x - 5)/2
To solve for x, the first step is to crossmultiply. We have
2(2x - 3) > 2x - 5
By expanding the parentheses on the left, we have
4x - 6 > 2x - 5
Subtracting 2x from both sides of the inequality, we have
4x - 2x - 6 > 2x - 2x - 5
2x - 6 > - 5
Adding 6 to both sides, we have
2x - 6 + 6 > - 5 + 6
2x > 1
Dividing both sides by 2, we have
2x/2 > 1/2
x > 1/2