Final answer:
To find an equivalent expression to 1/4x + 1 + 3/4 - 2/3 - 1/2x, combine like terms and simplify to get -1/4x + 13/12.
Step-by-step explanation:
To find an expression that is equivalent to 1/4x + 1 + 3/4 - 2/3 - 1/2x, we can combine like terms and simplify.
First, we combine the x terms: 1/4x - 1/2x = (1/4 - 1/2)x/1 = -1/4x
Next, we combine the constant terms: 1 + 3/4 - 2/3 = (4/4 + 3/4 - 8/12)/1 = (7/4 - 2/3)/1 = (21/12 - 8/12)/1 = 13/12
So, the equivalent expression is -1/4x + 13/12