3x - (1/2) = 2x + (7/4)
First we can add (1/2) to both sides of the equation:
3x - (1/2) = 2x + (7/4)
3x - (1/2) + (1/2) = 2x + (7/4) + (1/2)
3x = 2x + (7/4) + (1/2)
Now we can subtract 2x from both sides of the equation:
3x = 2x + (7/4) + (1/2)
3x - 2x = 2x - 2x + (7/4) + (1/2)
x = (7/4) + (1/2)
Now we can simplify this answer by putting the fractions over the same denominator (denominator = the number on the bottom of the fraction).
x = (7/4) + (1/2)
x = (7/4) + (1×2) / (2×2)
x = (7/4) + (2/4)
x = (7 + 2) / 4
x = 9/4 This is the solution to the problem.